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Rosenberger, Gerhard

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Author ID: rosenberger.gerhard Recent zbMATH articles by "Rosenberger, Gerhard"
Published as: Rosenberger, Gerhard; Rosenberger, G.
Homepage: https://www.math.uni-hamburg.de/home/rosenberger/
External Links: MGP · dblp · GND
Documents Indexed: 221 Publications since 1972, including 25 Books
Reviewing Activity: 351 Reviews
Biographic References: 2 Publications
all top 5

Co-Authors

41 single-authored
83 Fine, Benjamin L.
20 Spellman, Dennis
18 Gaglione, Anthony M.
12 Levin, Frank S.
12 Moldenhauer, Anja I. S.
12 Myasnikov, Alexei G.
8 große Rebel, Volkmar
8 Maclachlan, Colin
7 Kreuzer, Martin
7 Stille, Michael
6 Röhl, Frank
5 Hulpke, Alexander Jörg
5 Kern-Isberner, Gabriele
4 Baumslag, Gilbert
4 Camps, Thorsten
4 Kalia, Ravindra Nath
4 Scheer, Martin
4 Wang, Xueli
3 Ackermann, Peter
3 Carstensen-Opitz, Celine
3 Ciobanu, Laura
3 Diekert, Volker
3 Howie, James
3 Kufleitner, Manfred
3 Näätänen, Marjatta
3 Niemenmaa, Markku
3 Thomas, Richard M.
2 Abu Osman, M. T.
2 Chum, Chi Sing
2 Dörfer, Martin
2 Edjvet, Martin
2 Edmunds, Charles C.
2 Hahn, Miriam
2 Hennig, Dirk
2 Kahrobaei, Delaram
2 Kharlampovich, Olga G.
2 Kühling, Stefan
2 Peczynski, Norbert
2 Pei, Dingyi
2 Purzitsky, Norman
2 Remeslennikov, Vladimir Nikanorovich
2 Rosenberger, Anja
2 Shpilrain, Vladimir
2 Tessun, Franz
2 Wolny, Julia
2 Zhang, Xiaowen
2 Zieschang, Heiner
1 Aab, Michael
1 Baer, Christine
1 Baginski, Paul
1 Baumslag, Benjamin
1 Bencsáth, Katalin A.
1 Beyl, F. Rudolf
1 Bogopolski, Oleg
1 Borho, Walter
1 Bryukhov, Yegor
1 Comerford, Leo P. jun.
1 Csörgő, Piroska
1 Engel, Ann-Kristin
1 Fine, Ben
1 Fine, Benjamine
1 Gerritzen, Lothar
1 Goldfeld, Dorian Morris
1 Habeeb, Maggie E.
1 Hagelberg, Marcel Arnold
1 Hempel, Andrea
1 Hennekemper, Andrea
1 Hertrampf, Ulrich
1 Hidalgo, Rubén Antonio
1 Juhász, Arye
1 Kim, Ann Chi
1 Konieczny, Jochen
1 Kowalski, Jochen
1 Kuusalo, Tapani
1 Langer, Ulrich
1 Lévai, L.
1 Lustig, Martin
1 Meier, Holger
1 Moghaddam, Mohammad Reza Rajabzadeh
1 Moriah, Yoav
1 Nakanishi, Toshihiro
1 Neumann-Brosig, Matthias
1 Plesken, Wilhelm
1 Pohl, Christine
1 Rosenthal, Kristina
1 Rostamyari, Mohammad Amin
1 Sasse, Seja Lee
1 Schauerte, S.
1 Schoofs, Angela
1 Souvignier, Bernd
1 Terhorst, Hildegard
1 Ushakov, Alexander S.
1 von Rüden, Bettina
1 Weidmann, Richard
1 Wienke, Leonard
1 Xu, Xiaowei
all top 5

Serials

21 Results in Mathematics
10 Archiv der Mathematik
10 Mathematische Zeitschrift
10 Groups, Complexity, Cryptology
8 Communications in Algebra
6 Algebra Colloquium
5 Scientia. Series A: Mathematical Sciences. New Series
5 De Gruyter Textbook
4 Proceedings of the Edinburgh Mathematical Society. Series II
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Illinois Journal of Mathematics
3 Monatshefte für Mathematik
3 Journal of Group Theory
3 International Journal of Group Theory
2 Bulletin of the Malaysian Mathematical Society. Second Series
2 Journal of Algebra
2 Journal of the London Mathematical Society. Second Series
2 Journal of Pure and Applied Algebra
2 Mathematische Annalen
2 Pacific Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 New Zealand Journal of Mathematics
2 Matemática Contemporânea
2 Berliner Studienreihe zur Mathematik
2 Contemporary Mathematics
2 De Gruyter Studium
2 Berichte aus der Mathematik
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Bulletin of the Australian Mathematical Society
1 Mathematics of Computation
1 Acta Scientiarum Mathematicarum
1 Algebra and Logic
1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Czechoslovak Mathematical Journal
1 The Fibonacci Quarterly
1 Geometriae Dedicata
1 Hokkaido Mathematical Journal
1 Inventiones Mathematicae
1 The Journal of the Indian Mathematical Society. New Series
1 Journal für die Reine und Angewandte Mathematik
1 Matematički Vesnik
1 Mathematica Scandinavica
1 Siberian Mathematical Journal
1 Transactions of the American Mathematical Society
1 Revista Matemática de la Universidad Complutense de Madrid
1 JP Journal of Algebra, Number Theory and Applications
1 De Gruyter Expositions in Mathematics
1 Pure and Applied Mathematics, Marcel Dekker
1 Sigma Series in Pure Mathematics
1 Algebra and Discrete Mathematics (Hackensack)
1 Advances in Group Theory and Applications
1 Undergraduate Texts in Mathematics
1 De Gruyter Graduate
1 De Gruyter Proceedings in Mathematics
1 Berichte aus der Informatik

Publications by Year

Citations contained in zbMATH Open

148 Publications have been cited 558 times in 313 Documents Cited by Year
Fuchssche Gruppen, die freies Produkt zweier zyklischer Gruppen sind, und die Gleichung \(x^2+y^2+z^2=xyz\). Zbl 0244.20057
Rosenberger, Gerhard
25
1972
Two generator Fuchsian groups of genus one. Zbl 0232.20105
Purzitsky, N.; Rosenberger, G.
23
1972
Über Erzeugende ebener diskontinuierlicher Gruppen. Zbl 0311.20031
Peczynski, Norbert; Rosenberger, Gerhard; Zieschang, Heiner
19
1975
All generating pairs of all two-generator Fuchsian groups. Zbl 0563.20043
Rosenberger, Gerhard
19
1986
A classification of fully residually free groups of rank three or less. Zbl 0899.20009
Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei; Rosenberger, Gerhard; Spellman, Dennis
17
1998
Algebraic generalizations of discrete groups: a path to combinatorial group theory through one-relator products. Zbl 0933.20001
Fine, Benjamin; Rosenberger, Gerhard
17
1999
Automorphisms of the Fuchsian groups of type (0;2,2,2,q;0). Zbl 0401.20040
Kalia, R. N.; Rosenberger, Gerhard
16
1978
One-relator quotients and free products of cyclics. Zbl 0653.20029
Fine, Benjamin; Howie, James; Rosenberger, Gerhard
15
1988
Conjugacy separability of Fuchsian groups and related questions. Zbl 0743.20045
Fine, Benjamin; Rosenberger, Gerhard
13
1990
The fundamental theorem of algebra. Zbl 0902.12001
Fine, Benjamin; Rosenberger, Gerhard
13
1997
Test words, generic elements and almost primitivity. Zbl 1009.20031
Fine, B.; Rosenberger, G.; Spellman, D.; Stille, M.
11
1999
Alternierende Produkte in freien Gruppen. Zbl 0364.20042
Rosenberger, Gerhard
10
1978
Free subgroups and decompositions of one-relator products of cyclics. I: The Tits alternative. Zbl 0639.20016
Fine, Benjamin; Levin, Frank; Rosenberger, Gerhard
8
1988
On discrete free subgroups of linear groups. Zbl 0377.20040
Rosenberger, Gerhard
8
1978
Über die Diophantische Gleichung \(ax^2+by^2+cz^2=dxyz\). Zbl 0392.10018
Rosenberger, Gerhard
8
1979
Erzeugende endlicher projektiver linearer Gruppen. (Generators of finite projective linear groups). Zbl 0679.20041
Langer, Ulrich; Rosenberger, Gerhard
7
1989
Finite generalized tetrahedron groups with a high-power relator. Zbl 1017.20022
Edjvet, Martin; Howie, James; Rosenberger, Gerhard; Thomas, Richard M.
7
2002
Lie metabelian group rings. Zbl 0596.16027
Levin, F.; Rosenberger, G.
7
1986
Über Diskretheitsbedingungen und die diophantische Gleichung \(ax^ 2+by^ 2+cz^ 2=dxyz\). Zbl 0432.20044
Kern-Isberner, Gabriele; Rosenberger, Gerhard
7
1980
Zum Isomorphieproblem für Gruppen mit einer definierenden Relation. Zbl 0339.20008
Rosenberger, Gerhard
7
1976
Hecke-Integrale mit rationalen periodischen Funktionen und Dirichlet-Reihen mit Funktionalgleichung. Zbl 0542.10016
Meier, Holger; Rosenberger, Gerhard
7
1984
On free subgroups of generalized triangle groups. Zbl 0694.20016
Rosenberger, G.
6
1989
A property of subgroups of free groups. Zbl 0712.20018
Rosenberger, Gerhard
6
1991
Classification of all generating pairs of two generator Fuchsian groups. Zbl 0847.20044
Fine, Benjamin; Rosenberger, Gerhard
6
1995
Nielsen transformations and applications: A survey. Zbl 0870.20024
Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael
6
1995
A note on generalized triangle groups. Zbl 0633.20018
Fine, B.; Rosenberger, G.
6
1986
Minimal generating systems of a subgroup of SL(2,\({\mathbb{C}})\). Zbl 0645.20030
Rosenberger, Gerhard
6
1988
Number theory. An introduction via the distribution of primes. Zbl 1145.11003
Fine, Benjamin; Rosenberger, Gerhard
6
2007
Correction to ”Two generator Fuchsian groups of genus one”. Zbl 0255.20030
Purzitsky, N.; Rosenberger, G.
6
1973
Von Untergruppen der Triangel-Gruppen. Zbl 0382.20039
Rosenberger, Gerhard
6
1978
On HNN-groups whose three-generator subgroups are free. Zbl 0945.20508
Fine, Benjamin; Röhl, Frank; Rosenberger, Gerhard
5
1993
Eine Bemerkung zur Hecke-Gruppe G(\(\lambda\)). Zbl 0267.10035
Borho, Walter; Rosenberger, Gerhard
5
1973
Arithmetische Eigenschaften von Eisenstein-Reihen zu den Hecke-Gruppen G(\(\sqrt{2})\) und G(\(\sqrt{3})\). Zbl 0555.10011
Pohl, Christine; Rosenberger, Gerhard; Schoofs, Angela
5
1984
On surface groups: motivating examples in combinatorial group theory. Zbl 1124.20019
Ackermann, Peter; Fine, Benjamin; Rosenberger, Gerhard
5
2007
A classification of conjugately separated abelian, commutative transitive, and restricted Gromov one-relator groups. Zbl 1190.20022
Fine, Benjamin; Myasnikov, Alexei; große Rebel, Volkmar; Rosenberger, Gerhard
5
2006
Two-generator arithmetic Fuchsian groups. II. Zbl 0786.20032
Maclachlan, C.; Rosenberger, G.
4
1992
Commensurability classes of two-generator Fuchsian groups. Zbl 0849.30033
Maclachlan, C.; Rosenberger, G.
4
1992
On connected transversals in infinite groups. Zbl 0774.20020
Niemenmaa, Markku; Rosenberger, Gerhard
4
1992
Ree-Mendelsohn pairs in generalized triangle groups. Zbl 0664.20016
Fine, Benjamin; Howie, James; Rosenberger, Gerhard
4
1989
The eligible numbers of positive definite ternary forms. Zbl 1011.11020
Pei, Dingyi; Rosenberger, Gerhard; Wang, Xueli
4
2000
On discrete generalised triangle groups. Zbl 0836.20070
Hagelberg, M.; Maclachlan, C.; Rosenberger, G.
4
1995
On free subgroups of generalized triangle groups. II. Zbl 0824.20032
Levin, F.; Rosenberger, G.
4
1993
Conjugacy pinched and cyclically pinched one-relator groups. Zbl 0904.20019
Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael
4
1997
The isomorphism problem for a class of para-free groups. Zbl 0908.20026
Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael
4
1997
Test, generic and almost primitive elements in free groups. Zbl 0926.20017
Fine, Benjamin; Rosenberger, Gerhard; Spellman, Dennis; Stille, Michael
4
1998
\(n\)-free groups and questions about universally free groups. Zbl 0846.20025
Fine, Benjamin; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis
4
1995
Gleichungen in freien Produkten mit Amalgam. Zbl 0418.20035
Rosenberger, Gerhard
4
1980
Produkte von Potenzen und Kommutatoren in freien Gruppen. Zbl 0384.20023
Rosenberger, Gerhard
4
1978
Generic subgroups of group amalgams. Zbl 1180.20018
Fine, Benjamin; Myasnikov, Alexei; Rosenberger, Gerhard
4
2009
Über Darstellungen von Elementen und Untergruppen in freien Produkten. Zbl 0554.20003
Rosenberger, Gerhard
4
1984
Generators of finite projective linear groups. II. Zbl 0703.20047
Levin, Frank; Rosenberger, Gerhard
3
1990
Faithful complex representations of one relator groups. Zbl 0878.20018
Fine, Benjamin; Levin, Frank; Rosenberger, Gerhard
3
1997
Euler characteristic for one-relator products of cyclics. Zbl 0792.20025
Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael
3
1993
Some remarks on a paper of A. F. Beardon and P. L. Waterman about strongly discrete subgroups of SL(2,C). Zbl 0479.30033
Rosenberger, Gerhard
3
1983
Automorphismen und Erzeugende für Gruppen mit einer definierenden Relation. Zbl 0238.20037
Rosenberger, Gerhard
3
1972
On Lie metabelian group rings. Zbl 0817.20003
Levin, Frank; Rosenberger, Gerhard
3
1994
The Freiheitssatz and its extensions. Zbl 0833.20034
Fine, Benjamin; Rosenberger, Gerhard
3
1994
Aspects of nonabelian group based cryptography: a survey and open problems. Zbl 1251.94028
Fine, Benjamin; Habeeb, Maggie; Kahrobaei, Delaram; Rosenberger, Gerhard
3
2011
On the isomorphism problem for one-relator groups. Zbl 0339.20009
Rosenberger, Gerhard; Kalia, R. N.
3
1976
Anwendungen der Nielsenschen Kürzungsmethode in Gruppen mit einer definierenden Relation. Zbl 0369.20014
Rosenberger, G.
3
1977
Eine Bemerkung zu einer Arbeit von T. Jørgensen. Zbl 0379.20042
Rosenberger, Gerhard
3
1979
The Tits alternative for spherical generalized tetrahedron groups. Zbl 1210.20030
Fine, Benjamine; Hulpke, Alexander; große Rebel, Volkmar; Rosenberger, Gerhard
3
2008
The elementary theory of groups. A guide through the proofs of the Tarski conjectures. Zbl 1322.20001
Fine, Benjamin; Gaglione, Anthony; Myasnikov, Alexei; Rosenberger, Gerhard; Spellman, Dennis
3
2014
Einige Bemerkungen über Untergruppen der PSL(2,C). Zbl 0517.20023
Kern-Isberner, Gabriele; Rosenberger, Gerhard
3
1983
Classes of groups generalizing a theorem of Benjamin Baumslag. Zbl 1346.20022
Ciobanu, L.; Fine, B.; Rosenberger, G.
3
2016
The isomorphism problem for cyclically pinched one-relator groups. Zbl 0807.20032
Rosenberger, Gerhard
2
1994
Two-generator subgroups of certain HNN groups. Zbl 0742.20025
Fine, Benjamin; Rohl, Frank; Rosenberger, Gerhard
2
1990
On restricted Gromov groups. Zbl 0787.20015
Fine, Benjamin; Rosenberger, Gerhard
2
1992
Minimal generating systems for plane discontinuous groups and an equation in free groups. Zbl 0681.20021
Rosenberger, Gerhard
2
1989
Tame almost primitive elements. Zbl 0962.20022
Konieczny, Jochen; Rosenberger, Gerhard; Wolny, Julia
2
2000
The equation \(ax^2+by^2+cz^2=dxyz\) over quadratic imaginary fields. Zbl 0930.11012
Baer, Christine; Rosenberger, Gerhard
2
1998
The generalized tetrahedron groups. Zbl 0845.20019
Fine, Benjamin; Levin, Frank; Roehl, Frank; Rosenberger, Gerhard
2
1995
A Freiheitssatz for certain one-relator amalgamated products. Zbl 0851.20015
Fine, Benjamin; Roehl, Frank; Rosenberger, Gerhard
2
1995
Residual properties of HNN-extensions with cyclic associated subgroups. Zbl 0853.20016
Rosenberger, G.; Sasse, S. L.
2
1996
On power-commutative and commutation-transitive groups. Zbl 0612.20015
Levin, Frank; Rosenberger, Gerhard
2
1986
On Chebyshev polynomials, noncongruence subgroups of the modular group, and Fibonacci numbers. (Über Tschebyscheff-Polynome, Nicht-Kongruenzuntergruppen der Modulgruppe und Fibonacci-Zahlen.) Zbl 0423.10016
Rosenberger, Gerhard
2
1980
Applications of Nielsen’s reduction method to the solution of combinatorial problems in group theory: a survey. Zbl 0424.20021
Rosenberger, Gerhard
2
1979
Commutators as powers in free products of groups. Zbl 0821.20008
Comerford, Leo P. jun; Edmunds, Charles C.; Rosenberger, Gerhard
2
1994
On the combinatorial curvature of groups of F-type and other one-relator free products. Zbl 0819.20025
Juhász, A.; Rosenberger, G.
2
1994
Small volume isospectral, non-isometric, hyperbolic 2-orbifolds. Zbl 0781.57004
Maclachlan, Colin; Rosenberger, Gerhard
2
1994
Eine Bemerkung zu den Triangel-Gruppen. Zbl 0251.20035
Rosenberger, Gerhard
2
1973
The Tits alternative for Tsaranov’s generalized tetrahedron groups. Zbl 1221.20022
große Rebel, Volkmar; Hahn, Miriam; Rosenberger, Gerhard
2
2009
The uniqueness of the Markoff numbers. Zbl 0325.10012
Rosenberger, Gerhard
2
1976
Über Gruppen mit einer definierenden Relation. Zbl 0342.20015
Rosenberger, Gerhard
2
1977
Über alternierende Wörter in freien Produkten mit Amalgam. Zbl 0387.20026
Rosenberger, Gerhard
2
1978
A course in mathematical cryptography. Zbl 1391.94002
Baumslag, Gilbert; Fine, Benjamin; Kreuzer, Martin; Rosenberger, Gerhard
2
2015
Reflections on commutative transitivity. Zbl 1166.20019
Fine, Benjamin; Rosenberger, Gerhard
2
2008
Designing key transport protocols using combinatorial group theory. Zbl 1207.94047
Baumslag, G.; Camps, T.; Fine, B.; Rosenberger, G.; Xu, X.
2
2006
Introduction to combinatorial and geometric group theory. (Einführung in die kombinatorische und die geometrische Gruppentheorie.) Zbl 1136.20001
Camps, Thorsten; große Rebel, Volkmar; Rosenberger, Gerhard
2
2008
Discrete algebraic methods. Arithmetic, cryptography, automata and groups. Zbl 1350.00001
Diekert, Volker; Kufleitner, Manfred; Rosenberger, Gerhard; Hertrampf, Ulrich
2
2016
On CT and CSA groups and related ideas. Zbl 1375.20027
Fine, Ben; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis
2
2016
Something for nothing: some consequences of the solution of the Tarski problems. Zbl 1362.20023
Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis
2
2015
Algebraic extensions of certain discrete groups. Zbl 0840.20026
Fine, Benjamin; Rosenberger, Gerhard; Hempel, Andrea
1
1993
Two-generator arithmetic Fuchsian groups. Zbl 0513.20034
Maclachlan, C.; Rosenberger, G.
1
1983
Faithful linear representations and residual finiteness of some products of cyclics with one relation. Zbl 0819.20026
Rosenberger, G.
1
1991
The \(SQ\)-universality of one-relator products of cyclics. Zbl 0781.20018
Rosenberger, Gerhard
1
1992
A note on faithful representations of limit groups. Zbl 1269.20036
Fine, Benjamin; Rosenberger, Gerhard
1
2011
Free subgroups and decompositions of one-relator products of cyclics. II: Normal torsion-free subgroups and FPA decompositions. Zbl 0651.20036
Fine, Benjamin; Levin, Frank; Rosenberger, Gerhard
1
1987
A class of SQ-universal groups. Zbl 0659.20025
Levin, Frank; Rosenberger, Gerhard
1
1989
Automorphisms of Fuchsian groups and their lifts to free groups. Zbl 0666.20023
Lustig, Martin; Moriah, Yoav; Rosenberger, Gerhard
1
1989
Orderable groups, elementary theory, and the Kaplansky conjecture. Zbl 06894891
Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis
1
2018
Classes of groups generalizing a theorem of Benjamin Baumslag. Zbl 1346.20022
Ciobanu, L.; Fine, B.; Rosenberger, G.
3
2016
Discrete algebraic methods. Arithmetic, cryptography, automata and groups. Zbl 1350.00001
Diekert, Volker; Kufleitner, Manfred; Rosenberger, Gerhard; Hertrampf, Ulrich
2
2016
On CT and CSA groups and related ideas. Zbl 1375.20027
Fine, Ben; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis
2
2016
On the generalized Hurwitz equation and the Baragar-Umeda equation. Zbl 1378.11044
Fine, B.; Kern-Isberner, G.; Moldenhauer, A. I. S.; Rosenberger, G.
1
2016
On secret sharing protocols. Zbl 1366.94550
Chum, Chi Sing; Fine, Benjamin; Moldenhauer, Anja I. S.; Rosenberger, Gerhard; Zhang, Xiaowen
1
2016
Test elements, generic elements and almost primitivity in free products. Zbl 1352.20035
Engel, Ann-Kristin; Fine, Benjamin; Rosenberger, Gerhard
1
2016
A course in mathematical cryptography. Zbl 1391.94002
Baumslag, Gilbert; Fine, Benjamin; Kreuzer, Martin; Rosenberger, Gerhard
2
2015
Something for nothing: some consequences of the solution of the Tarski problems. Zbl 1362.20023
Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis
2
2015
On elementary free groups. Zbl 1344.20060
Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis
1
2015
The elementary theory of groups. A guide through the proofs of the Tarski conjectures. Zbl 1322.20001
Fine, Benjamin; Gaglione, Anthony; Myasnikov, Alexei; Rosenberger, Gerhard; Spellman, Dennis
3
2014
Faithful real representations of cyclically pinched one-relator groups. Zbl 1337.20046
Fine, B.; Kreuzer, M.; Rosenberger, G.
1
2014
Elements of discrete mathematics. Numbers and counting, graphs and lattices. (Elemente der diskreten Mathematik. Zahlen und Zählen, Graphen und Verbände.) Zbl 1276.05001
Diekert, Volker; Kufleitner, Manfred; Rosenberger, Gerhard
1
2013
The surface group conjecture: cyclically pinched and conjugacy pinched one-relator groups. Zbl 1287.20044
Ciobanu, L.; Fine, B.; Rosenberger, G.
1
2013
Faithful representations of limit groups. II. Zbl 1284.20045
Fine, Benjamin; Rosenberger, Gerhard
1
2013
Arithmetic Fuchsian groups of signature \((0;m_1,m_2,m_3,m_4)\). Zbl 1301.20039
Maclachlan, C.; Rosenberger, G.
1
2013
A secret sharing scheme based on the closest vector theorem and a modification to a private key cryptosystem. Zbl 1308.94070
Fine, Benjamin; Moldenhauer, Anja I. S.; Rosenberger, Gerhard
1
2013
A proposed alternative to the Shamir secret sharing scheme. Zbl 1278.94044
Chum, Chi Sing; Fine, Benjamin; Rosenberger, Gerhard; Zhang, Xiaowen
1
2012
All finite generalized tetrahedron groups. II. Zbl 1278.20045
Fine, Benjamin; Hulpke, Alexander; Rosenberger, Gerhard
1
2012
Aspects of nonabelian group based cryptography: a survey and open problems. Zbl 1251.94028
Fine, Benjamin; Habeeb, Maggie; Kahrobaei, Delaram; Rosenberger, Gerhard
3
2011
A note on faithful representations of limit groups. Zbl 1269.20036
Fine, Benjamin; Rosenberger, Gerhard
1
2011
On Lyndon’s equation in some \(\Lambda\)-free groups and HNN extensions. Zbl 1242.20033
Ciobanu, L.; Fine, B.; Rosenberger, G.
1
2011
Quadratic properties in group amalgams. Zbl 1256.20043
Fine, Benjamin; Rosenberger, Aila; Rosenberger, Gerhard
1
2011
The Tits alternative for short generalized tetrahedron groups. Zbl 1260.20053
Fine, B.; Hulpke, A.; große Rebel, V.; Rosenberger, G.; Schauerte, S.
1
2011
An epic drama: the development of the prime number theorem. Zbl 1243.11092
Fine, Benjamin; Rosenberger, Gerhard
1
2010
Generic subgroups of group amalgams. Zbl 1180.20018
Fine, Benjamin; Myasnikov, Alexei; Rosenberger, Gerhard
4
2009
The Tits alternative for Tsaranov’s generalized tetrahedron groups. Zbl 1221.20022
große Rebel, Volkmar; Hahn, Miriam; Rosenberger, Gerhard
2
2009
The Tits alternative for spherical generalized tetrahedron groups. Zbl 1210.20030
Fine, Benjamine; Hulpke, Alexander; große Rebel, Volkmar; Rosenberger, Gerhard
3
2008
Reflections on commutative transitivity. Zbl 1166.20019
Fine, Benjamin; Rosenberger, Gerhard
2
2008
Introduction to combinatorial and geometric group theory. (Einführung in die kombinatorische und die geometrische Gruppentheorie.) Zbl 1136.20001
Camps, Thorsten; große Rebel, Volkmar; Rosenberger, Gerhard
2
2008
All finite generalized tetrahedon groups. Zbl 1210.20029
Fine, Benjamin; Hahn, Miriam; Hulpke, Alexander; große Rebel, Volkmar; Rosenberger, Gerhard; Scheer, Martin
1
2008
Aspects of infinite groups. A Festschrift in honor of Anthony Gaglione. Papers of the conference, Fairfield, USA, March 2007 in honour of Anthony Gaglione’s 60th birthday. Zbl 1154.20001
Fine, Benjamin; Rosenberger, Gerhard; Spellman, Dennis
1
2008
Number theory. An introduction via the distribution of primes. Zbl 1145.11003
Fine, Benjamin; Rosenberger, Gerhard
6
2007
On surface groups: motivating examples in combinatorial group theory. Zbl 1124.20019
Ackermann, Peter; Fine, Benjamin; Rosenberger, Gerhard
5
2007
On the surface group conjecture. Zbl 1135.20023
Fine, B.; Kharlampovich, O. G.; Myasnikov, A. G.; Remeslennikov, V. N.; Rosenberger, G.
1
2007
A classification of conjugately separated abelian, commutative transitive, and restricted Gromov one-relator groups. Zbl 1190.20022
Fine, Benjamin; Myasnikov, Alexei; große Rebel, Volkmar; Rosenberger, Gerhard
5
2006
Designing key transport protocols using combinatorial group theory. Zbl 1207.94047
Baumslag, G.; Camps, T.; Fine, B.; Rosenberger, G.; Xu, X.
2
2006
Torsion free commutator subgroups of generalized Coxeter groups. Zbl 1090.20019
Hidalgo, Rubén A.; Rosenberger, Gerhard
1
2005
On orbifolds coverings of genus 2 surfaces. Zbl 1110.30022
Hulpke, Alexander; Kuusalo, Tapani; Näätänen, Marjatta; Rosenberger, Gerhard
1
2005
The arithmetic Fuchsian groups with signature \((0;2,2,2,q)\). Zbl 1064.20049
Ackermann, P.; Näätänen, M.; Rosenberger, G.
1
2003
Recent developments in the theory of Fuchsian and Kleinian groups. Zbl 1064.20050
Hennig, D.; Rosenberger, G.
1
2003
Finite generalized tetrahedron groups with a high-power relator. Zbl 1017.20022
Edjvet, Martin; Howie, James; Rosenberger, Gerhard; Thomas, Richard M.
7
2002
Classification of the finite generalized tetrahedron groups. Zbl 1010.20018
Rosenberger, Gerhard; Scheer, Martin
1
2002
Malnormal subgroups of free groups. Zbl 1015.20021
Fine, Benjamin; Myasnikov, Alexei; Rosenberger, Gerhard
1
2002
The eligible numbers of positive definite ternary forms. Zbl 1011.11020
Pei, Dingyi; Rosenberger, Gerhard; Wang, Xueli
4
2000
Tame almost primitive elements. Zbl 0962.20022
Konieczny, Jochen; Rosenberger, Gerhard; Wolny, Julia
2
2000
On certain finite generalized tetrahedron groups. Zbl 0983.20030
Edjvet, Martin; Rosenberger, Gerhard; Stille, Michael; Thomas, Richard M.
1
2000
Aspects of the theory of free groups. Zbl 0963.20010
Bencsath, Katalin; Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei G.; Roehl, Frank; Rosenberger, Gerhard; Spellman, Dennis
1
2000
The Tits alternative for generalized triangle groups. Zbl 0953.20023
Fine, Benjamin; Roehl, Frank; Rosenberger, Gerhard
1
2000
On equations in the free group of rank \(2\) and the classification of almost primitive elements. Zbl 0951.20021
Kowalski, Jochen; Rosenberger, Gerhard; Wolny, Julia
1
2000
Algebraic generalizations of discrete groups: a path to combinatorial group theory through one-relator products. Zbl 0933.20001
Fine, Benjamin; Rosenberger, Gerhard
17
1999
Test words, generic elements and almost primitivity. Zbl 1009.20031
Fine, B.; Rosenberger, G.; Spellman, D.; Stille, M.
11
1999
A classification of fully residually free groups of rank three or less. Zbl 0899.20009
Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei; Rosenberger, Gerhard; Spellman, Dennis
17
1998
Test, generic and almost primitive elements in free groups. Zbl 0926.20017
Fine, Benjamin; Rosenberger, Gerhard; Spellman, Dennis; Stille, Michael
4
1998
The equation \(ax^2+by^2+cz^2=dxyz\) over quadratic imaginary fields. Zbl 0930.11012
Baer, Christine; Rosenberger, Gerhard
2
1998
The fundamental theorem of algebra. Zbl 0902.12001
Fine, Benjamin; Rosenberger, Gerhard
13
1997
Conjugacy pinched and cyclically pinched one-relator groups. Zbl 0904.20019
Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael
4
1997
The isomorphism problem for a class of para-free groups. Zbl 0908.20026
Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael
4
1997
Faithful complex representations of one relator groups. Zbl 0878.20018
Fine, Benjamin; Levin, Frank; Rosenberger, Gerhard
3
1997
Residual properties of HNN-extensions with cyclic associated subgroups. Zbl 0853.20016
Rosenberger, G.; Sasse, S. L.
2
1996
Classification of all generating pairs of two generator Fuchsian groups. Zbl 0847.20044
Fine, Benjamin; Rosenberger, Gerhard
6
1995
Nielsen transformations and applications: A survey. Zbl 0870.20024
Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael
6
1995
On discrete generalised triangle groups. Zbl 0836.20070
Hagelberg, M.; Maclachlan, C.; Rosenberger, G.
4
1995
\(n\)-free groups and questions about universally free groups. Zbl 0846.20025
Fine, Benjamin; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis
4
1995
The generalized tetrahedron groups. Zbl 0845.20019
Fine, Benjamin; Levin, Frank; Roehl, Frank; Rosenberger, Gerhard
2
1995
A Freiheitssatz for certain one-relator amalgamated products. Zbl 0851.20015
Fine, Benjamin; Roehl, Frank; Rosenberger, Gerhard
2
1995
All finite generalized triangle groups. Zbl 0882.20019
Lévai, L.; Rosenberger, G.; Souvignier, B.
1
1995
Subgroup separable free products with cyclic amalgamation. Zbl 0847.57002
Aab, Michael; Rosenberger, Gerhard
1
1995
On Lie metabelian group rings. Zbl 0817.20003
Levin, Frank; Rosenberger, Gerhard
3
1994
The Freiheitssatz and its extensions. Zbl 0833.20034
Fine, Benjamin; Rosenberger, Gerhard
3
1994
The isomorphism problem for cyclically pinched one-relator groups. Zbl 0807.20032
Rosenberger, Gerhard
2
1994
Commutators as powers in free products of groups. Zbl 0821.20008
Comerford, Leo P. jun; Edmunds, Charles C.; Rosenberger, Gerhard
2
1994
On the combinatorial curvature of groups of F-type and other one-relator free products. Zbl 0819.20025
Juhász, A.; Rosenberger, G.
2
1994
Small volume isospectral, non-isometric, hyperbolic 2-orbifolds. Zbl 0781.57004
Maclachlan, Colin; Rosenberger, Gerhard
2
1994
Simultaneous conjugation in quaternion algebras. Zbl 0799.20043
Plesken, Wilhelm; Rosenberger, Gerhard
1
1994
On HNN-groups whose three-generator subgroups are free. Zbl 0945.20508
Fine, Benjamin; Röhl, Frank; Rosenberger, Gerhard
5
1993
On free subgroups of generalized triangle groups. II. Zbl 0824.20032
Levin, F.; Rosenberger, G.
4
1993
Euler characteristic for one-relator products of cyclics. Zbl 0792.20025
Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael
3
1993
Algebraic extensions of certain discrete groups. Zbl 0840.20026
Fine, Benjamin; Rosenberger, Gerhard; Hempel, Andrea
1
1993
Two-generator arithmetic Fuchsian groups. II. Zbl 0786.20032
Maclachlan, C.; Rosenberger, G.
4
1992
Commensurability classes of two-generator Fuchsian groups. Zbl 0849.30033
Maclachlan, C.; Rosenberger, G.
4
1992
On connected transversals in infinite groups. Zbl 0774.20020
Niemenmaa, Markku; Rosenberger, Gerhard
4
1992
On restricted Gromov groups. Zbl 0787.20015
Fine, Benjamin; Rosenberger, Gerhard
2
1992
The \(SQ\)-universality of one-relator products of cyclics. Zbl 0781.20018
Rosenberger, Gerhard
1
1992
A property of subgroups of free groups. Zbl 0712.20018
Rosenberger, Gerhard
6
1991
Faithful linear representations and residual finiteness of some products of cyclics with one relation. Zbl 0819.20026
Rosenberger, G.
1
1991
Generalizing algebraic properties of Fuchsian groups. Zbl 0733.20028
Fine, Benjamin; Rosenberger, Gerhard
1
1991
Conjugacy separability of Fuchsian groups and related questions. Zbl 0743.20045
Fine, Benjamin; Rosenberger, Gerhard
13
1990
Generators of finite projective linear groups. II. Zbl 0703.20047
Levin, Frank; Rosenberger, Gerhard
3
1990
Two-generator subgroups of certain HNN groups. Zbl 0742.20025
Fine, Benjamin; Rohl, Frank; Rosenberger, Gerhard
2
1990
Powers of genus two in free groups. Zbl 0681.20022
Rosenberger, Gerhard; Edmunds, Charles C.
1
1990
Erzeugende endlicher projektiver linearer Gruppen. (Generators of finite projective linear groups). Zbl 0679.20041
Langer, Ulrich; Rosenberger, Gerhard
7
1989
On free subgroups of generalized triangle groups. Zbl 0694.20016
Rosenberger, G.
6
1989
Ree-Mendelsohn pairs in generalized triangle groups. Zbl 0664.20016
Fine, Benjamin; Howie, James; Rosenberger, Gerhard
4
1989
Minimal generating systems for plane discontinuous groups and an equation in free groups. Zbl 0681.20021
Rosenberger, Gerhard
2
1989
A class of SQ-universal groups. Zbl 0659.20025
Levin, Frank; Rosenberger, Gerhard
1
1989
Automorphisms of Fuchsian groups and their lifts to free groups. Zbl 0666.20023
Lustig, Martin; Moriah, Yoav; Rosenberger, Gerhard
1
1989
One-relator quotients and free products of cyclics. Zbl 0653.20029
Fine, Benjamin; Howie, James; Rosenberger, Gerhard
15
1988
Free subgroups and decompositions of one-relator products of cyclics. I: The Tits alternative. Zbl 0639.20016
Fine, Benjamin; Levin, Frank; Rosenberger, Gerhard
8
1988
Minimal generating systems of a subgroup of SL(2,\({\mathbb{C}})\). Zbl 0645.20030
Rosenberger, Gerhard
6
1988
...and 48 more Documents
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Cited by 323 Authors

68 Rosenberger, Gerhard
22 Fine, Benjamin L.
10 Gaglione, Anthony M.
10 Myasnikov, Alexei G.
10 Spellman, Dennis
9 Howie, James
8 Maclachlan, Colin
8 Roman’kov, Vitaly Anatol’evich
6 Kim, Goansu
6 Tang, Chi Yu
5 Gilman, Jane P.
5 Kern-Isberner, Gabriele
5 Mikhalëv, Aleksandr Aleksandrovich
5 Remeslennikov, Vladimir Nikanorovich
4 Choie, YoungJu
4 Moldenhauer, Anja I. S.
4 Schmidt, Thomas A.
4 Wang, Xueli
4 Wong, Peng Choon
4 Zieschang, Heiner
3 Baumslag, Gilbert
3 Ciobanu, Laura
3 Gilman, Robert H.
3 große Rebel, Volkmar
3 Kharlampovich, Olga G.
3 Kopteva, Natalia Viktorovna
3 Pei, Dingyi
3 Pride, Stephen J.
3 Purzitsky, Norman
3 Ressler, Wendell
3 Stille, Michael
3 Voight, John Michael
3 Williams, Gerald
3 Wong, Kok Bin
3 Yang, Shihai
2 Allenby, R. B. J. T.
2 Conder, Marston D. E.
2 Diekert, Volker
2 Drápal, Aleš
2 Garcia, Stephan Ramon
2 Hahn, Miriam
2 Hidalgo, Rubén Antonio
2 Hubert, Pascal
2 Hulpke, Alexander Jörg
2 Hung, Do Viet
2 Kalia, Ravindra Nath
2 Kapovich, Ilya
2 Khoi, Vu The
2 Kirschmer, Markus
2 Klimakov, A. V.
2 Levin, Frank S.
2 Lipschutz, Seymour
2 Logan, Alan D.
2 Luca, Florian
2 Martin, Gaven J.
2 McCullough, Darryl
2 Niemenmaa, Markku
2 Reid, Alan W.
2 Rosenberger, Anja
2 Semmler, Klaus-Dieter
2 Shpilrain, Vladimir
2 Siciliano, Salvatore
2 Snopce, Ilir
2 Spinelli, Ernesto
2 Srivastava, J. B.
2 Tanushevski, Slobodan
2 Tessun, Franz
2 Thomas, Richard M.
2 Velleman, Daniel J.
2 Weidmann, Richard
2 Wilton, Henry John Rutley
2 Yu, Jie-Tai
2 Zalesskii, Pavel
1 Al-Thukair, Fawzi A.
1 Aliabadi, Mohsen
1 Almira, Jose María
1 Alsina, Montserrat
1 Altassan, Alaa
1 Andrica, Dorin
1 Artamonov, Vyacheslav Aleksandrovich
1 Badolati, Ennio
1 Baer, Christine
1 Bai, Erwei
1 Baidoo-Williams, Henry Ernest
1 Baoulina, Ioulia N.
1 Baragar, Arthur
1 Basu, Soham
1 Benyash-Krivets, Valeriĭ Vatslavovich
1 Bisch, Dietmar H.
1 Blanco-Chacón, Iván
1 Błaszczyk, Zbigniew
1 Bogopolski, Oleg
1 Boileau, Michel Charles
1 Bowditch, Brian H.
1 Boyer, Steven
1 Branco, Mário J. J.
1 Bridson, Martin R.
1 Bruggeman, Roelof Wichert
1 Bumagin, Inna
1 Buser, Peter
...and 223 more Authors
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Cited in 101 Serials

25 Journal of Algebra
20 Communications in Algebra
18 Results in Mathematics
17 Archiv der Mathematik
15 Mathematische Zeitschrift
11 Journal of Pure and Applied Algebra
9 Journal of Group Theory
8 Mathematische Annalen
8 Transactions of the American Mathematical Society
8 Groups, Complexity, Cryptology
7 Israel Journal of Mathematics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 International Journal of Algebra and Computation
6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Mathematical Notes
5 Proceedings of the American Mathematical Society
5 Proceedings of the Edinburgh Mathematical Society. Series II
4 Bulletin of the Australian Mathematical Society
4 Mathematics of Computation
4 Journal of Soviet Mathematics
4 Monatshefte für Mathematik
4 Algebra Colloquium
3 Journal d’Analyse Mathématique
3 The Mathematical Intelligencer
3 Advances in Mathematics
3 Algebra and Logic
3 Geometriae Dedicata
3 Siberian Mathematical Journal
3 Journal of Mathematical Sciences (New York)
3 Geometry & Topology
3 International Journal of Group Theory
2 American Mathematical Monthly
2 Rocky Mountain Journal of Mathematics
2 Czechoslovak Mathematical Journal
2 Glasgow Mathematical Journal
2 Journal of Number Theory
2 Osaka Journal of Mathematics
2 Tohoku Mathematical Journal. Second Series
2 Science in China. Series A
2 Journal of Algebra and its Applications
2 Groups, Geometry, and Dynamics
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Indian Journal of Pure & Applied Mathematics
1 Journal of the Franklin Institute
1 Periodica Mathematica Hungarica
1 Chaos, Solitons and Fractals
1 Mathematics Magazine
1 Journal of Geometry and Physics
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Computation
1 Automatica
1 Boletim da Sociedade Brasileira de Matemática
1 Compositio Mathematica
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Semigroup Forum
1 Studia Logica
1 Topology and its Applications
1 European Journal of Combinatorics
1 Acta Mathematica Hungarica
1 Annals of Pure and Applied Logic
1 Bulletin of the Iranian Mathematical Society
1 Journal of Complexity
1 Journal of Automated Reasoning
1 Forum Mathematicum
1 Designs, Codes and Cryptography
1 Elemente der Mathematik
1 Glasnik Matematički. Serija III
1 Bulletin of the American Mathematical Society. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Potential Analysis
1 Journal of Applied Non-Classical Logics
1 Annales Mathématiques Blaise Pascal
1 Turkish Journal of Mathematics
1 Journal of Difference Equations and Applications
1 Arab Journal of Mathematical Sciences
1 Transformation Groups
1 The Ramanujan Journal
1 Conformal Geometry and Dynamics
1 Revista Matemática Complutense
1 LMS Journal of Computation and Mathematics
1 Lobachevskii Journal of Mathematics
1 Journal of the Australian Mathematical Society
1 Applied Mathematics E-Notes
1 Central European Journal of Mathematics
1 North American Actuarial Journal
1 Journal of Discrete Algorithms
1 Mediterranean Journal of Mathematics
1 International Journal of Number Theory
1 Chebyshevskiĭ Sbornik
1 Journal of Mathematical Cryptology
1 Journal of Modern Dynamics
1 Confluentes Mathematici
1 Science China. Mathematics
1 Problemy Fiziki, Matematiki i Tekhniki
...and 1 more Serials
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Cited in 37 Fields

223 Group theory and generalizations (20-XX)
57 Number theory (11-XX)
48 Functions of a complex variable (30-XX)
41 Manifolds and cell complexes (57-XX)
18 Associative rings and algebras (16-XX)
13 Mathematical logic and foundations (03-XX)
13 Algebraic geometry (14-XX)
13 Nonassociative rings and algebras (17-XX)
10 Computer science (68-XX)
9 Field theory and polynomials (12-XX)
9 Topological groups, Lie groups (22-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Information and communication theory, circuits (94-XX)
5 Combinatorics (05-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Abstract harmonic analysis (43-XX)
3 Geometry (51-XX)
3 Convex and discrete geometry (52-XX)
3 Algebraic topology (55-XX)
2 General and overarching topics; collections (00-XX)
2 General algebraic systems (08-XX)
2 Commutative algebra (13-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Ordinary differential equations (34-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Probability theory and stochastic processes (60-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
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1 Differential geometry (53-XX)
1 Numerical analysis (65-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

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