Edit Profile (opens in new tab) Rosenberger, Gerhard Co-Author Distance Author ID: rosenberger.gerhard Published as: Rosenberger, Gerhard; Rosenberger, G. Homepage: https://www.math.uni-hamburg.de/home/rosenberger/ External Links: MGP · dblp · GND Documents Indexed: 225 Publications since 1972, including 24 Books and 4 Additional arXiv Preprints 4 Contributions as Editor · 1 Further Contribution Reviewing Activity: 353 Reviews Biographic References: 2 Publications Co-Authors: 97 Co-Authors with 188 Joint Publications 1,197 Co-Co-Authors all top 5 Co-Authors 41 single-authored 88 Fine, Benjamin L. 21 Spellman, Dennis 19 Gaglione, Anthony M. 16 Moldenhauer, Anja I. S. 12 Levin, Frank 12 Myasnikov, Alexei G. 9 Maclachlan, Colin 8 große Rebel, Volkmar 8 Kreuzer, Martin 7 Stille, Michael 6 Röhl, Frank 5 Baumslag, Gilbert 5 Hulpke, Alexander Jörg 5 Kern-Isberner, Gabriele 4 Camps, Thorsten 4 Diekert, Volker 4 Kalia, Ravindra Nath 4 Kufleitner, Manfred 4 Scheer, Martin 4 Wang, Xueli 4 Wienke, Leonard 3 Ackermann, Peter 3 Carstensen-Opitz, Celine 3 Ciobanu, Laura 3 Howie, James 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 Hertrampf, Ulrich 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 Schürenberg, Annika 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 Buser, Peter 1 Comerford, Leo P. jun. 1 Csörgő, Piroska 1 Engel, Ann-Kristin 1 Fine, Ben 1 Fine, Benjamine 1 Flach, Nicole 1 Gerritzen, Lothar 1 Goldfeld, Dorian Morris 1 Habeeb, Maggie E. 1 Hagelberg, Marcel Arnold 1 Hempel, Andrea 1 Hennekemper, Andrea 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 Semmler, Klaus-Dieter 1 Souvignier, Bernd 1 Terhorst, Hildegard 1 Ushakov, Alexander S. 1 von Rüden, Bettina 1 Weidmann, Richard 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 Mathematical Proceedings of the Cambridge Philosophical Society 4 Proceedings of the Edinburgh Mathematical Society. Series II 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 3 De Gruyter Graduate 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 Proceedings in Mathematics 1 De Gruyter STEM 1 Berichte aus der Informatik all top 5 Fields 199 Group theory and generalizations (20-XX) 52 Number theory (11-XX) 28 Functions of a complex variable (30-XX) 16 Information and communication theory, circuits (94-XX) 15 General and overarching topics; collections (00-XX) 13 Manifolds and cell complexes (57-XX) 9 Associative rings and algebras (16-XX) 8 Field theory and polynomials (12-XX) 7 Mathematical logic and foundations (03-XX) 6 Commutative algebra (13-XX) 5 Combinatorics (05-XX) 5 Computer science (68-XX) 4 Geometry (51-XX) 4 Mathematics education (97-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 3 Probability theory and stochastic processes (60-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 159 Publications have been cited 627 times in 361 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. 24 1972 All generating pairs of all two-generator Fuchsian groups. Zbl 0563.20043 Rosenberger, Gerhard 22 1986 Algebraic generalizations of discrete groups: a path to combinatorial group theory through one-relator products. Zbl 0933.20001 Fine, Benjamin; Rosenberger, Gerhard 20 1999 Über Erzeugende ebener diskontinuierlicher Gruppen. Zbl 0311.20031 Peczynski, Norbert; Rosenberger, Gerhard; Zieschang, Heiner 20 1975 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 18 1998 One-relator quotients and free products of cyclics. Zbl 0653.20029 Fine, Benjamin; Howie, James; Rosenberger, Gerhard 16 1988 Automorphisms of the Fuchsian groups of type (0;2,2,2,q;0). Zbl 0401.20040 Kalia, R. N.; Rosenberger, Gerhard 16 1978 The fundamental theorem of algebra. Zbl 0902.12001 Fine, Benjamin; Rosenberger, Gerhard 15 1997 Über die Diophantische Gleichung \(ax^2+by^2+cz^2=dxyz\). Zbl 0392.10018 Rosenberger, Gerhard 14 1979 Conjugacy separability of Fuchsian groups and related questions. Zbl 0743.20045 Fine, Benjamin; Rosenberger, Gerhard 13 1990 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 Lie metabelian group rings. Zbl 0596.16027 Levin, F.; Rosenberger, G. 9 1986 Number theory. An introduction via the distribution of primes. Zbl 1145.11003 Fine, Benjamin; Rosenberger, Gerhard 9 2007 Classification of all generating pairs of two generator Fuchsian groups. Zbl 0847.20044 Fine, Benjamin; Rosenberger, Gerhard 8 1995 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 Erzeugende endlicher projektiver linearer Gruppen. (Generators of finite projective linear groups). Zbl 0679.20041 Langer, Ulrich; Rosenberger, Gerhard 8 1989 Finite generalized tetrahedron groups with a high-power relator. Zbl 1017.20022 Edjvet, Martin; Howie, James; Rosenberger, Gerhard; Thomas, Richard M. 7 2002 Hecke-Integrale mit rationalen periodischen Funktionen und Dirichlet-Reihen mit Funktionalgleichung. Zbl 0542.10016 Meier, Holger; Rosenberger, Gerhard 7 1984 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 \(n\)-free groups and questions about universally free groups. Zbl 0846.20025 Fine, Benjamin; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis 6 1995 Nielsen transformations and applications: A survey. Zbl 0870.20024 Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael 6 1995 Discrete algebraic methods. Arithmetic, cryptography, automata and groups. Zbl 1350.00001 Diekert, Volker; Kufleitner, Manfred; Rosenberger, Gerhard; Hertrampf, Ulrich 6 2016 Correction to ”Two generator Fuchsian groups of genus one”. Zbl 0255.20030 Purzitsky, N.; Rosenberger, G. 6 1973 Eine Bemerkung zur Hecke-Gruppe G(\(\lambda\)). Zbl 0267.10035 Borho, Walter; Rosenberger, Gerhard 6 1973 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 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 On HNN-groups whose three-generator subgroups are free. Zbl 0945.20508 Fine, Benjamin; Röhl, Frank; Rosenberger, Gerhard 6 1993 Von Untergruppen der Triangel-Gruppen. Zbl 0382.20039 Rosenberger, Gerhard 6 1978 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 6 2006 On discrete generalised triangle groups. Zbl 0836.20070 Hagelberg, M.; Maclachlan, C.; Rosenberger, G. 5 1995 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 The equation \(ax^2+by^2+cz^2=dxyz\) over quadratic imaginary fields. Zbl 0930.11012 Baer, Christine; Rosenberger, Gerhard 5 1998 On surface groups: motivating examples in combinatorial group theory. Zbl 1124.20019 Ackermann, Peter; Fine, Benjamin; Rosenberger, Gerhard 5 2007 Aspects of nonabelian group based cryptography: a survey and open problems. Zbl 1251.94028 Fine, Benjamin; Habeeb, Maggie; Kahrobaei, Delaram; Rosenberger, Gerhard 5 2011 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 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 Test, generic and almost primitive elements in free groups. Zbl 0926.20017 Fine, Benjamin; Rosenberger, Gerhard; Spellman, Dennis; Stille, Michael 4 1998 Über Darstellungen von Elementen und Untergruppen in freien Produkten. Zbl 0554.20003 Rosenberger, Gerhard 4 1984 On Lie metabelian group rings. Zbl 0817.20003 Levin, Frank; Rosenberger, Gerhard 4 1994 The Freiheitssatz and its extensions. Zbl 0833.20034 Fine, Benjamin; Rosenberger, Gerhard 4 1994 Generators of finite projective linear groups. II. Zbl 0703.20047 Levin, Frank; Rosenberger, Gerhard 4 1990 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 4 2014 Ree-Mendelsohn pairs in generalized triangle groups. Zbl 0664.20016 Fine, Benjamin; Howie, James; Rosenberger, Gerhard 4 1989 The isomorphism problem for a class of para-free groups. Zbl 0908.20026 Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael 4 1997 Produkte von Potenzen und Kommutatoren in freien Gruppen. Zbl 0384.20023 Rosenberger, Gerhard 4 1978 Gleichungen in freien Produkten mit Amalgam. Zbl 0418.20035 Rosenberger, Gerhard 4 1980 The eligible numbers of positive definite ternary forms. Zbl 1011.11020 Pei, Dingyi; Rosenberger, Gerhard; Wang, Xueli 4 2000 Minimal generating systems for plane discontinuous groups and an equation in free groups. Zbl 0681.20021 Rosenberger, Gerhard 4 1989 Generic subgroups of group amalgams. Zbl 1180.20018 Fine, Benjamin; Myasnikov, Alexei; Rosenberger, Gerhard 4 2009 Two-generator subgroups of certain HNN groups. Zbl 0742.20025 Fine, Benjamin; Rohl, 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 Commutators as powers in free products of groups. Zbl 0821.20008 Comerford, Leo P. jun.; Edmunds, Charles C.; Rosenberger, Gerhard 3 1994 On the combinatorial curvature of groups of F-type and other one-relator free products. Zbl 0819.20025 Juhász, A.; Rosenberger, G. 3 1994 Automorphismen und Erzeugende für Gruppen mit einer definierenden Relation. Zbl 0238.20037 Rosenberger, Gerhard 3 1972 On power-commutative and commutation-transitive groups. Zbl 0612.20015 Levin, Frank; Rosenberger, Gerhard 3 1986 Classes of groups generalizing a theorem of Benjamin Baumslag. Zbl 1346.20022 Ciobanu, L.; Fine, B.; Rosenberger, G. 3 2016 Automorphisms of Fuchsian groups and their lifts to free groups. Zbl 0666.20023 Lustig, Martin; Moriah, Yoav; Rosenberger, Gerhard 3 1989 Eine Bemerkung zu einer Arbeit von T. Jørgensen. Zbl 0379.20042 Rosenberger, Gerhard 3 1979 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 3 2008 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 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 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 3 2008 Einige Bemerkungen über Untergruppen der \(\mathrm{PSL}(2, \mathbb C)\). Zbl 0517.20023 Kern-Isberner, Gabriele; Rosenberger, Gerhard 3 1983 On restricted Gromov groups. Zbl 0787.20015 Fine, Benjamin; Rosenberger, Gerhard 2 1992 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 The Tits alternative for generalized triangle groups. Zbl 0953.20023 Fine, Benjamin; Roehl, Frank; Rosenberger, Gerhard 2 2000 Classification of the finite generalized tetrahedron groups. Zbl 1010.20018 Rosenberger, Gerhard; Scheer, Martin 2 2002 Tame almost primitive elements. Zbl 0962.20022 Konieczny, Jochen; Rosenberger, Gerhard; Wolny, Julia 2 2000 The uniqueness of the Markoff numbers. Zbl 0325.10012 Rosenberger, Gerhard 2 1976 The isomorphism problem for cyclically pinched one-relator groups. Zbl 0807.20032 Rosenberger, Gerhard 2 1994 Eine Bemerkung zu den Triangel-Gruppen. Zbl 0251.20035 Rosenberger, Gerhard 2 1973 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 Number theory. An introduction via the density of primes. 2nd edition. Zbl 1419.11001 Fine, Benjamin; Rosenberger, Gerhard 2 2016 A course in mathematical cryptography. Zbl 1391.94002 Baumslag, Gilbert; Fine, Benjamin; Kreuzer, Martin; Rosenberger, Gerhard 2 2015 Über alternierende Wörter in freien Produkten mit Amalgam. Zbl 0387.20026 Rosenberger, Gerhard 2 1978 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 Spectral rigidity and discreteness of 2233-groups. With an appendix by Colin MacLachlan and Gerhard Rosenberger. Zbl 1140.20038 Buser, Peter; Flach, Nicole; Semmler, Klaus-Dieter 2 2008 Über Gruppen mit einer definierenden Relation. Zbl 0342.20015 Rosenberger, Gerhard 2 1977 Small volume isospectral, non-isometric, hyperbolic 2-orbifolds. Zbl 0781.57004 Maclachlan, Colin; Rosenberger, Gerhard 2 1994 Automorphismen ebener diskontinuierlicher Gruppen. Zbl 0464.20025 Rosenberger, Gerhard 2 1981 Designing key transport protocols using combinatorial group theory. Zbl 1207.94047 Baumslag, G.; Camps, T.; Fine, B.; Rosenberger, G.; Xu, X. 2 2006 On CT and CSA groups and related ideas. Zbl 1375.20027 Fine, Ben; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis 2 2016 The Tits alternative for Tsaranov’s generalized tetrahedron groups. Zbl 1221.20022 große Rebel, Volkmar; Hahn, Miriam; Rosenberger, Gerhard 2 2009 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 Topics in infinite group theory. Nielsen methods, covering spaces, and hyperbolic groups. Zbl 1517.20002 Fine, Benjamin; Moldenhauer, Anja; Rosenberger, Gerhard; Wienke, Leonard 1 2021 One-relator groups: an overview. Zbl 1514.20113 Baumslag, Gilbert; Fine, Benjamin; Rosenberger, Gerhard 1 2019 Orderable groups, elementary theory, and the Kaplansky conjecture. Zbl 1507.20019 Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis 1 2018 Discrete algebraic methods. Arithmetic, cryptography, automata and groups. Zbl 1350.00001 Diekert, Volker; Kufleitner, Manfred; Rosenberger, Gerhard; Hertrampf, Ulrich 6 2016 Classes of groups generalizing a theorem of Benjamin Baumslag. Zbl 1346.20022 Ciobanu, L.; Fine, B.; Rosenberger, G. 3 2016 Number theory. An introduction via the density of primes. 2nd edition. Zbl 1419.11001 Fine, Benjamin; Rosenberger, Gerhard 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 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 A course in mathematical cryptography. Zbl 1391.94002 Baumslag, Gilbert; Fine, Benjamin; Kreuzer, Martin; Rosenberger, Gerhard 2 2015 On elementary free groups. Zbl 1344.20060 Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis 1 2015 On Magnus’ Freiheitssatz and free polynomial algebras. Zbl 1456.20027 Fine, Benjamin; Kreuzer, Martin; Rosenberger, Gerhard 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 4 2014 Faithful real representations of cyclically pinched one-relator groups. Zbl 1337.20046 Fine, B.; Kreuzer, M.; Rosenberger, G. 1 2014 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 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 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 5 2011 Abstract algebra. Applications to Galois theory, algebraic geometry and cryptography. Zbl 1213.00004 Carstensen, Celine; 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 A note on faithful representations of limit groups. Zbl 1269.20036 Fine, Benjamin; 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 Quadratic properties in group amalgams. Zbl 1256.20043 Fine, Benjamin; Rosenberger, Aila; Rosenberger, Gerhard 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 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 3 2008 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 3 2008 Spectral rigidity and discreteness of 2233-groups. With an appendix by Colin MacLachlan and Gerhard Rosenberger. Zbl 1140.20038 Buser, Peter; Flach, Nicole; Semmler, Klaus-Dieter 2 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 1 2008 All finite generalized tetrahedon groups. Zbl 1210.20029 Fine, Benjamin; Hahn, Miriam; Hulpke, Alexander; große Rebel, Volkmar; Rosenberger, Gerhard; Scheer, Martin 1 2008 Number theory. An introduction via the distribution of primes. Zbl 1145.11003 Fine, Benjamin; Rosenberger, Gerhard 9 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 6 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 2 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 The Tits alternative for generalized triangle groups. Zbl 0953.20023 Fine, Benjamin; Roehl, Frank; Rosenberger, Gerhard 2 2000 Tame almost primitive elements. Zbl 0962.20022 Konieczny, Jochen; Rosenberger, Gerhard; Wolny, Julia 2 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 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 On certain finite generalized tetrahedron groups. Zbl 0983.20030 Edjvet, Martin; Rosenberger, Gerhard; Stille, Michael; Thomas, Richard M. 1 2000 Algebraic generalizations of discrete groups: a path to combinatorial group theory through one-relator products. Zbl 0933.20001 Fine, Benjamin; Rosenberger, Gerhard 20 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 18 1998 The equation \(ax^2+by^2+cz^2=dxyz\) over quadratic imaginary fields. Zbl 0930.11012 Baer, Christine; Rosenberger, Gerhard 5 1998 Test, generic and almost primitive elements in free groups. Zbl 0926.20017 Fine, Benjamin; Rosenberger, Gerhard; Spellman, Dennis; Stille, Michael 4 1998 The fundamental theorem of algebra. Zbl 0902.12001 Fine, Benjamin; Rosenberger, Gerhard 15 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 8 1995 \(n\)-free groups and questions about universally free groups. Zbl 0846.20025 Fine, Benjamin; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis 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. 5 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 Subgroup separable free products with cyclic amalgamation. Zbl 0847.57002 Aab, Michael; Rosenberger, Gerhard 1 1995 All finite generalized triangle groups. Zbl 0882.20019 Lévai, L.; Rosenberger, G.; Souvignier, B. 1 1995 On Lie metabelian group rings. Zbl 0817.20003 Levin, Frank; Rosenberger, Gerhard 4 1994 The Freiheitssatz and its extensions. Zbl 0833.20034 Fine, Benjamin; Rosenberger, Gerhard 4 1994 Commutators as powers in free products of groups. Zbl 0821.20008 Comerford, Leo P. jun.; Edmunds, Charles C.; Rosenberger, Gerhard 3 1994 On the combinatorial curvature of groups of F-type and other one-relator free products. Zbl 0819.20025 Juhász, A.; Rosenberger, G. 3 1994 The isomorphism problem for cyclically pinched one-relator groups. Zbl 0807.20032 Rosenberger, Gerhard 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 6 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 On subgroups of free products of cyclics. Zbl 0772.20009 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 4 1990 Two-generator subgroups of certain HNN groups. Zbl 0742.20025 Fine, Benjamin; Rohl, Frank; Rosenberger, Gerhard 3 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 8 1989 On free subgroups of generalized triangle groups. Zbl 0694.20016 Rosenberger, G. 6 1989 ...and 59 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 390 Authors 69 Rosenberger, Gerhard 22 Fine, Benjamin L. 12 Myasnikov, Alexei G. 10 Gaglione, Anthony M. 10 Spellman, Dennis 9 Howie, James 9 Maclachlan, Colin 8 Roman’kov, Vitaly Anatol’evich 6 Kim, Goansu 6 Remeslennikov, Vladimir Nikanorovich 6 Tang, Chi Yu 5 Gilman, Jane P. 5 Kern-Isberner, Gabriele 5 Mikhalëv, Aleksandr Aleksandrovich 5 Zieschang, Heiner 4 Choie, YoungJu 4 Kharlampovich, Olga G. 4 Moldenhauer, Anja I. S. 4 Schmidt, Thomas A. 4 Wang, Xueli 4 Williams, Gerald 4 Wong, Peng Choon 3 Baumslag, Gilbert 3 Ciobanu, Laura 3 Diekert, Volker 3 Gilman, Robert H. 3 große Rebel, Volkmar 3 Hashim, Hayder Raheem 3 Kopteva, Natalia Viktorovna 3 Logan, Alan D. 3 Martin, Gaven J. 3 Pei, Dingyi 3 Pride, Stephen James 3 Purzitsky, Norman 3 Ressler, Wendell 3 Sahai, Meena 3 Shpilrain, Vladimir 3 Siciliano, Salvatore 3 Stille, Michael 3 Voight, John Michael 3 Wong, Kok Bin 3 Yang, Shihai 2 Allenby, R. B. J. T. 2 Benyash-Krivets, Valeriĭ Vatslavovich 2 Boileau, Michel Charles 2 Chinyere, Ihechukwu 2 Collins, Donald J. 2 Conder, Marston Donald Edward 2 Drápal, Aleš 2 Elder, Murray J. 2 Garcia, Stephan Ramon 2 Gray, Robert D. 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 Klyachko, Anton Aleksandrovich 2 Levin, Frank 2 Lipschutz, Seymour 2 Luca, Florian 2 McCullough, Darryl 2 Moriah, Yoav 2 Niemenmaa, Markku 2 Nyberg-Brodda, Carl-Fredrik 2 Osin, Denis V. 2 Reid, Alan W. 2 Rosenberger, Anja 2 Semmler, Klaus-Dieter 2 Sharma, Rajendra Kumar 2 Snopce, Ilir 2 Spinelli, Ernesto 2 Srivastava, J. B. 2 Tanushevski, Slobodan 2 Tengely, Szabolcs 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 Abdollahi, Alireza 1 Acosta, Gerardo G. 1 Admiralova, Aleksandra Nikolaevna 1 Adsul, Bharat 1 Aebi, Christian 1 Al-Thukair, Fawzi A. 1 Alaqad, Hala 1 Alberto-Dominguez, José del Carmen 1 Aliabadi, Mohsen 1 Almira, Jose María 1 Alsina, Montserrat 1 Altassan, Alaa 1 Amaglobeli, Mikhail Georgievich ...and 290 more Authors all top 5 Cited in 126 Serials 27 Journal of Algebra 22 Communications in Algebra 18 Results in Mathematics 17 Archiv der Mathematik 15 Mathematische Zeitschrift 11 Journal of Pure and Applied Algebra 10 Journal of Group Theory 9 International Journal of Algebra and Computation 9 Groups, Complexity, Cryptology 8 Israel Journal of Mathematics 8 Mathematische Annalen 8 Transactions of the American Mathematical Society 7 Mathematical Proceedings of the Cambridge Philosophical Society 6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 6 Proceedings of the Edinburgh Mathematical Society. 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New Series 1 Mathematica Slovaca 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Studia Logica 1 Topology and its Applications 1 European Journal of Combinatorics 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Information and Computation 1 Journal of Automated Reasoning 1 Forum Mathematicum 1 Designs, Codes and Cryptography 1 Elemente der Mathematik 1 L’Enseignement Mathématique. 2e Série 1 Glasnik Matematički. Serija III 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Potential Analysis 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 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 Doklady Mathematics 1 The Ramanujan Journal 1 Conformal Geometry and Dynamics 1 Revista Matemática Complutense 1 Journal of Integer Sequences ...and 26 more Serials all top 5 Cited in 40 Fields 246 Group theory and generalizations (20-XX) 71 Number theory (11-XX) 53 Functions of a complex variable (30-XX) 47 Manifolds and cell complexes (57-XX) 22 Associative rings and algebras (16-XX) 17 Mathematical logic and foundations (03-XX) 17 Algebraic geometry (14-XX) 17 Nonassociative rings and algebras (17-XX) 14 Computer science (68-XX) 11 Information and communication theory, circuits (94-XX) 10 Field theory and polynomials (12-XX) 9 Topological groups, Lie groups (22-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Combinatorics (05-XX) 5 Commutative algebra (13-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Geometry (51-XX) 3 Abstract harmonic analysis (43-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 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) 2 Numerical analysis (65-XX) 2 Quantum theory (81-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) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-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) Citations by Year