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Fine, Benjamin L.

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Author ID: fine.benjamin-l Recent zbMATH articles by "Fine, Benjamin L."
Published as: Fine, Benjamin; Fine, B.; Fine, Benjamin L.
Documents Indexed: 144 Publications since 1974, including 19 Books
all top 5

Serials

10 Communications in Algebra
9 Groups, Complexity, Cryptology
5 Canadian Journal of Mathematics
5 Results in Mathematics
5 Journal of Group Theory
4 Algebra Colloquium
4 De Gruyter Textbook
3 Archiv der Mathematik
3 Proceedings of the American Mathematical Society
3 Contemporary Mathematics
3 Scientia. Series A: Mathematical Sciences. New Series
3 International Journal of Group Theory
2 Houston Journal of Mathematics
2 Canadian Mathematical Bulletin
2 Journal of Pure and Applied Algebra
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 The Review of Economic Studies
2 International Journal of Algebra and Computation
2 New Zealand Journal of Mathematics
2 Matemática Contemporânea
2 Pure and Applied Mathematics, Marcel Dekker
1 Pi Mu Epsilon Journal
1 Mathematics Magazine
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Scientiarum Mathematicarum
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Annalen
1 Pacific Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Comptes Rendus Mathématiques de l’Académie des Sciences
1 Revista Matemática de la Universidad Complutense de Madrid
1 Bulletin of the Institute of Mathematics. Academia Sinica
1 Applicable Algebra in Engineering, Communication and Computing
1 JP Journal of Algebra, Number Theory and Applications
1 Bulletin of the American Mathematical Society
1 De Gruyter Expositions in Mathematics
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

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 376 times in 252 Documents Cited by Year
Algebraic theory of the Bianchi groups. Zbl 0760.20014
Fine, Benjamin
36
1989
Algebraic generalizations of discrete groups: a path to combinatorial group theory through one-relator products. Zbl 0933.20001
Fine, Benjamin; Rosenberger, Gerhard
17
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
Classification of finite rings of order \(p^ 2\). Zbl 0838.16011
Fine, Benjamin
16
1993
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
A local analytic splitting of the holonomy map on flat connections. Zbl 0797.53027
Fine, B.; Kirk, P.; Klassen, E.
9
1994
The HNN and generalized free product structure of certain linear groups. Zbl 0309.20017
Fine, Benjamin
9
1975
Social choice and individual rankings. I. Zbl 0384.90003
Fine, B.; Fine, K.
9
1974
Social choice and individual rankings. II. Zbl 0384.90004
Fine, B.; Fine, K.
8
1974
The normal subgroup structure of the Picard group. Zbl 0624.20031
Fine, Benjamin; Newman, Morris
8
1987
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
Trace classes and quadratic forms in the modular group. Zbl 0814.11026
Fine, Benjamin
7
1994
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
The SQ-universality of certain arithmetically defined linear groups. Zbl 0333.20025
Fine, Benjamin; Tretkoff, Marvin
6
1976
A note on generalized triangle groups. Zbl 0633.20018
Fine, B.; Rosenberger, G.
6
1986
Number theory. An introduction via the distribution of primes. Zbl 1145.11003
Fine, Benjamin; Rosenberger, Gerhard
6
2007
Cryptosystems using linear groups. Zbl 1104.94017
Baumslag, Gilbert; Fine, Benjamin; Xu, Xiaowei
6
2006
On the equivariant formality of Kähler manifolds with finite group action. Zbl 0805.55009
Fine, Benjamin L.; Triantafillou, Georgia
5
1993
Some amalgam structures for Bianchi groups. Zbl 0635.20024
Frohman, Charles; Fine, Benjamin
5
1988
On HNN-groups whose three-generator subgroups are free. Zbl 0945.20508
Fine, Benjamin; Röhl, Frank; Rosenberger, Gerhard
5
1993
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
\(n\)-free groups and questions about universally free groups. Zbl 0846.20025
Fine, Benjamin; Gaglione, Anthony M.; Rosenberger, Gerhard; Spellman, Dennis
4
1995
On the SQ-universality of HNN groups. Zbl 0414.20025
Fine, Benjamin; Tretkoff, Marvin
4
1979
Growth rate of an endomorphism of a group. Zbl 1243.20053
Falconer, Kenneth J.; Fine, Benjamin; Kahrobaei, Delaram
4
2011
Test, generic and almost primitive elements in free groups. Zbl 0926.20017
Fine, Benjamin; Rosenberger, Gerhard; Spellman, Dennis; Stille, Michael
4
1998
The isomorphism problem for a class of para-free groups. Zbl 0908.20026
Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael
4
1997
Conjugacy pinched and cyclically pinched one-relator groups. Zbl 0904.20019
Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael
4
1997
Ree-Mendelsohn pairs in generalized triangle groups. Zbl 0664.20016
Fine, Benjamin; Howie, James; Rosenberger, Gerhard
4
1989
Generic subgroups of group amalgams. Zbl 1180.20018
Fine, Benjamin; Myasnikov, Alexei; Rosenberger, Gerhard
4
2009
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
The Freiheitssatz and its extensions. Zbl 0833.20034
Fine, Benjamin; Rosenberger, Gerhard
3
1994
Congruence subgroups of the Picard group. Zbl 0461.20032
Fine, Benjamin
3
1980
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
Fuchsian subgroups of the Picard group. Zbl 0357.20026
Fine, Benjamin
3
1976
The free groups in the dihedral variety. Zbl 0569.20021
Fine, Benjamin
3
1986
Discriminating groups. Zbl 0992.20021
Fine, Benjamin; Myasnikov, Alexei G.; Gaglione, Anthony M.; Spellman, Dennis
3
2001
Classes of groups generalizing a theorem of Benjamin Baumslag. Zbl 1346.20022
Ciobanu, L.; Fine, B.; Rosenberger, G.
3
2016
A proposed public key cryptosystem using the modular group. Zbl 1122.94028
Baumslag, Gilbert; Fine, Benjamin; Xu, Xiaowei
3
2006
Virtual properties of cyclically pinched one-relator groups. Zbl 1205.20034
Baumslag, Gilbert; Fine, Benjamin; Miller, Charles F. III; Troeger, Douglas
3
2009
Aspects of nonabelian group based cryptography: a survey and open problems. Zbl 1251.94028
Fine, Benjamin; Habeeb, Maggie; Kahrobaei, Delaram; Rosenberger, Gerhard
3
2011
Two-generator subgroups of certain HNN groups. Zbl 0742.20025
Fine, Benjamin; Rohl, Frank; Rosenberger, Gerhard
2
1990
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
On restricted Gromov groups. Zbl 0787.20015
Fine, Benjamin; Rosenberger, Gerhard
2
1992
The structure of \(\text{PSL}_2(R)\); \(R\), the ring of integers in a Euclidean quadratic imaginary number field. Zbl 0298.20036
Fine, Benjamin
2
1974
A note on the two-square theorem. Zbl 0358.10019
Fine, Benjamin
2
1977
Groups whose universal theory is axiomatizable by quasi-identities. Zbl 1002.20017
Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei; Spellman, Dennis
2
2002
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
Designing key transport protocols using combinatorial group theory. Zbl 1207.94047
Baumslag, G.; Camps, T.; Fine, B.; Rosenberger, G.; Xu, X.
2
2006
Reflections on commutative transitivity. Zbl 1166.20019
Fine, Benjamin; Rosenberger, Gerhard
2
2008
On Turner’s theorem and first-order theory. Zbl 1392.20025
Fine, Benjamin; Gaglione, Anthony; Lipschutz, Seymour; Spellman, Dennis
1
2017
Algebraic extensions of certain discrete groups. Zbl 0840.20026
Fine, Benjamin; Rosenberger, Gerhard; Hempel, Andrea
1
1993
A note on faithful representations of limit groups. Zbl 1269.20036
Fine, Benjamin; Rosenberger, Gerhard
1
2011
An epic drama: the development of the prime number theorem. Zbl 1243.11092
Fine, Benjamin; Rosenberger, Gerhard
1
2010
The Tits alternative for short generalized tetrahedron groups. Zbl 1260.20053
Fine, B.; Hulpke, A.; große Rebel, V.; Rosenberger, G.; Schauerte, S.
1
2011
Fuchsian embeddings in the Bianchi groups. Zbl 0626.20034
Fine, Benjamin
1
1987
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
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
Amalgam decompositions for one-relator groups. Zbl 0932.20023
Fine, Benjamin; Peluso, Ada
1
1999
The axiomatic closure of the class of discriminating groups. Zbl 1080.20025
Fine, Benjamin; Gaglione, Anthony M.; Spellman, Dennis
1
2004
Malnormal subgroups of free groups. Zbl 1015.20021
Fine, Benjamin; Myasnikov, Alexei; Rosenberger, Gerhard
1
2002
On secret sharing protocols. Zbl 1366.94550
Chum, Chi Sing; Fine, Benjamin; Moldenhauer, Anja I. S.; Rosenberger, Gerhard; Zhang, Xiaowen
1
2016
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
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
On elementary free groups. Zbl 1344.20060
Fine, Benjamin; Gaglione, Anthony; Rosenberger, Gerhard; Spellman, Dennis
1
2015
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
Faithful representations of limit groups. II. Zbl 1284.20045
Fine, Benjamin; Rosenberger, Gerhard
1
2013
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
Faithful real representations of cyclically pinched one-relator groups. Zbl 1337.20046
Fine, B.; Kreuzer, M.; Rosenberger, G.
1
2014
Test elements, generic elements and almost primitivity in free products. Zbl 1352.20035
Engel, Ann-Kristin; Fine, Benjamin; Rosenberger, Gerhard
1
2016
Generalizing algebraic properties of Fuchsian groups. Zbl 0733.20028
Fine, Benjamin; Rosenberger, Gerhard
1
1991
All finite generalized tetrahedon groups. Zbl 1210.20029
Fine, Benjamin; Hahn, Miriam; Hulpke, Alexander; große Rebel, Volkmar; Rosenberger, Gerhard; Scheer, Martin
1
2008
On the surface group conjecture. Zbl 1135.20023
Fine, B.; Kharlampovich, O. G.; Myasnikov, A. G.; Remeslennikov, V. N.; Rosenberger, G.
1
2007
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 (ed.); Rosenberger, Gerhard (ed.); Spellman, Dennis (ed.)
1
2008
Complex representations and one-relator products of cyclics. Zbl 0675.20020
Fine, Benjamin; Rosenberger, Gerhard
1
1988
On Turner’s theorem and first-order theory. Zbl 1392.20025
Fine, Benjamin; Gaglione, Anthony; Lipschutz, Seymour; Spellman, Dennis
1
2017
Classes of groups generalizing a theorem of Benjamin Baumslag. Zbl 1346.20022
Ciobanu, L.; Fine, B.; Rosenberger, G.
3
2016
On secret sharing protocols. Zbl 1366.94550
Chum, Chi Sing; Fine, Benjamin; Moldenhauer, Anja I. S.; Rosenberger, Gerhard; Zhang, Xiaowen
1
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
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
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
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
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
Growth rate of an endomorphism of a group. Zbl 1243.20053
Falconer, Kenneth J.; Fine, Benjamin; Kahrobaei, Delaram
4
2011
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
The Tits alternative for short generalized tetrahedron groups. Zbl 1260.20053
Fine, B.; Hulpke, A.; große Rebel, V.; Rosenberger, G.; Schauerte, S.
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
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
Virtual properties of cyclically pinched one-relator groups. Zbl 1205.20034
Baumslag, Gilbert; Fine, Benjamin; Miller, Charles F. III; Troeger, Douglas
3
2009
Reflections on commutative transitivity. Zbl 1166.20019
Fine, Benjamin; 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
Cryptosystems using linear groups. Zbl 1104.94017
Baumslag, Gilbert; Fine, Benjamin; Xu, Xiaowei
6
2006
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
A proposed public key cryptosystem using the modular group. Zbl 1122.94028
Baumslag, Gilbert; Fine, Benjamin; Xu, Xiaowei
3
2006
Designing key transport protocols using combinatorial group theory. Zbl 1207.94047
Baumslag, G.; Camps, T.; Fine, B.; Rosenberger, G.; Xu, X.
2
2006
The axiomatic closure of the class of discriminating groups. Zbl 1080.20025
Fine, Benjamin; Gaglione, Anthony M.; Spellman, Dennis
1
2004
Groups whose universal theory is axiomatizable by quasi-identities. Zbl 1002.20017
Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei; Spellman, Dennis
2
2002
Malnormal subgroups of free groups. Zbl 1015.20021
Fine, Benjamin; Myasnikov, Alexei; Rosenberger, Gerhard
1
2002
Discriminating groups. Zbl 0992.20021
Fine, Benjamin; Myasnikov, Alexei G.; Gaglione, Anthony M.; Spellman, Dennis
3
2001
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
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
Amalgam decompositions for one-relator groups. Zbl 0932.20023
Fine, Benjamin; Peluso, Ada
1
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 fundamental theorem of algebra. Zbl 0902.12001
Fine, Benjamin; Rosenberger, Gerhard
13
1997
The isomorphism problem for a class of para-free groups. Zbl 0908.20026
Fine, Benjamin; Rosenberger, Gerhard; Stille, Michael
4
1997
Conjugacy pinched and cyclically pinched one-relator groups. Zbl 0904.20019
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
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
\(n\)-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
A local analytic splitting of the holonomy map on flat connections. Zbl 0797.53027
Fine, B.; Kirk, P.; Klassen, E.
9
1994
Trace classes and quadratic forms in the modular group. Zbl 0814.11026
Fine, Benjamin
7
1994
The Freiheitssatz and its extensions. Zbl 0833.20034
Fine, Benjamin; Rosenberger, Gerhard
3
1994
Classification of finite rings of order \(p^ 2\). Zbl 0838.16011
Fine, Benjamin
16
1993
On the equivariant formality of Kähler manifolds with finite group action. Zbl 0805.55009
Fine, Benjamin L.; Triantafillou, Georgia
5
1993
On HNN-groups whose three-generator subgroups are free. Zbl 0945.20508
Fine, Benjamin; Röhl, Frank; Rosenberger, Gerhard
5
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
On restricted Gromov groups. Zbl 0787.20015
Fine, Benjamin; Rosenberger, Gerhard
2
1992
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
Two-generator subgroups of certain HNN groups. Zbl 0742.20025
Fine, Benjamin; Rohl, Frank; Rosenberger, Gerhard
2
1990
Algebraic theory of the Bianchi groups. Zbl 0760.20014
Fine, Benjamin
36
1989
Ree-Mendelsohn pairs in generalized triangle groups. Zbl 0664.20016
Fine, Benjamin; Howie, James; Rosenberger, Gerhard
4
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
Some amalgam structures for Bianchi groups. Zbl 0635.20024
Frohman, Charles; Fine, Benjamin
5
1988
Complex representations and one-relator products of cyclics. Zbl 0675.20020
Fine, Benjamin; Rosenberger, Gerhard
1
1988
The normal subgroup structure of the Picard group. Zbl 0624.20031
Fine, Benjamin; Newman, Morris
8
1987
Fuchsian embeddings in the Bianchi groups. Zbl 0626.20034
Fine, Benjamin
1
1987
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 note on generalized triangle groups. Zbl 0633.20018
Fine, B.; Rosenberger, G.
6
1986
The free groups in the dihedral variety. Zbl 0569.20021
Fine, Benjamin
3
1986
Congruence subgroups of the Picard group. Zbl 0461.20032
Fine, Benjamin
3
1980
On the SQ-universality of HNN groups. Zbl 0414.20025
Fine, Benjamin; Tretkoff, Marvin
4
1979
A note on the two-square theorem. Zbl 0358.10019
Fine, Benjamin
2
1977
The SQ-universality of certain arithmetically defined linear groups. Zbl 0333.20025
Fine, Benjamin; Tretkoff, Marvin
6
1976
Fuchsian subgroups of the Picard group. Zbl 0357.20026
Fine, Benjamin
3
1976
The HNN and generalized free product structure of certain linear groups. Zbl 0309.20017
Fine, Benjamin
9
1975
Social choice and individual rankings. I. Zbl 0384.90003
Fine, B.; Fine, K.
9
1974
Social choice and individual rankings. II. Zbl 0384.90004
Fine, B.; Fine, K.
8
1974
The structure of \(\text{PSL}_2(R)\); \(R\), the ring of integers in a Euclidean quadratic imaginary number field. Zbl 0298.20036
Fine, Benjamin
2
1974
all top 5

Cited by 318 Authors

31 Rosenberger, Gerhard
27 Fine, Benjamin L.
11 Gaglione, Anthony M.
11 Spellman, Dennis
10 Myasnikov, Alexei G.
9 Rahm, Alexander Daniel
7 Howie, James
5 Baumslag, Gilbert
5 Kim, Goansu
5 Tang, Chi Yu
5 Wong, Peng Choon
4 Mason, Alexander W.
4 Mikhalëv, Aleksandr Aleksandrovich
4 Moldenhauer, Anja I. S.
4 Reid, Alan W.
4 Roman’kov, Vitaly Anatol’evich
4 Wong, Kok Bin
4 Zalesskii, Pavel
3 Ciobanu, Laura
3 Gilman, Robert H.
3 Golasiński, Marek
3 Kahrobaei, Delaram
3 Kern-Isberner, Gabriele
3 Kharlampovich, Olga G.
3 Koruoglu, Ozden
3 Maclachlan, Colin
3 Mushtaq, Qaiser
3 Osin, Denis V.
3 Remeslennikov, Vladimir Nikanorovich
3 Stille, Michael
3 Vaserstein, Leonid N.
3 Williams, Gerald
2 Alahmadi, Adel N.
2 Alkathiry, Amani
2 Altassan, Alaa
2 Basaffar, Widyan
2 Berkove, Ethan J.
2 Beyranvand, Reza
2 Bonnecaze, Alexis
2 Bridson, Martin R.
2 Brunner, Andrew Michael
2 Chagas, Sheila C.
2 Cocke, William J.
2 del Río, Angel
2 Demir, Bilal
2 Dikranjan, Dikran N.
2 Garcia, Stephan Ramon
2 Guirardel, Vincent
2 Hidalgo, Rubén Antonio
2 Hung, Do Viet
2 Kaarli, Kalle
2 Kalaimurugan, G.
2 Kapovich, Ilya
2 Khoi, Vu The
2 Lipschutz, Seymour
2 Logan, Alan D.
2 Menal, Pere
2 Minasyan, Ashot
2 Odoni, R. W. K.
2 Rosenberger, Anja
2 Schmidt, Thomas A.
2 Scull, Laura
2 Sheingorn, Mark E.
2 Shoaib, Hatoon
2 Solé, Patrick
2 Tamizh Chelvam, Thirugnanam
2 Thomas, Richard M.
2 Toro, Margarita M.
2 Velleman, Daniel J.
2 Vignesh, P.
2 Waldhauser, Tamás
2 Wilton, Henry John Rutley
2 Yılmaz Özgür, Nihal
2 Yousaf, Awais
2 Yu, Jie-Tai
1 Aliabadi, Mohsen
1 Allenby, R. B. J. T.
1 Almira, Jose María
1 Alperin, Roger Charles
1 Alsina, Montserrat
1 Anis, Saima
1 Anshel, Michael
1 Artamonov, Vyacheslav Aleksandrovich
1 Arzhantseva, Goulnara N.
1 Asif, Shehla
1 Bachiller, David
1 Badolati, Ennio
1 Bai, Erwei
1 Baidoo-Williams, Henry Ernest
1 Baker, Mark D.
1 Bartholdi, Laurent
1 Basu, Soham
1 Behboodi, Mahmood
1 Beiranvand, P. Karimi
1 Benyash-Krivets, Valeriĭ Vatslavovich
1 Bergweiler, Walter
1 Blanco-Chacón, Iván
1 Błaszczyk, Zbigniew
1 Bogopolski, Oleg
1 Boyer, Steven
...and 218 more Authors
all top 5

Cited in 100 Serials

21 Journal of Algebra
19 Communications in Algebra
12 Journal of Pure and Applied Algebra
12 Transactions of the American Mathematical Society
9 Proceedings of the American Mathematical Society
9 Journal of Group Theory
8 Results in Mathematics
8 Groups, Complexity, Cryptology
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Journal of Algebra and its Applications
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Advances in Mathematics
4 International Journal of Algebra and Computation
4 International Journal of Group Theory
3 American Mathematical Monthly
3 Israel Journal of Mathematics
3 The Mathematical Intelligencer
3 Archiv der Mathematik
3 Journal of Soviet Mathematics
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Synthese
3 Journal of Mathematical Sciences (New York)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Groups, Geometry, and Dynamics
2 Journal d’Analyse Mathématique
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Algebra and Logic
2 Annales de l’Institut Fourier
2 Compositio Mathematica
2 Illinois Journal of Mathematics
2 Semigroup Forum
2 Siberian Mathematical Journal
2 Topology and its Applications
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Applicable Algebra in Engineering, Communication and Computing
2 Lobachevskii Journal of Mathematics
2 Algebraic & Geometric Topology
2 Journal of the Australian Mathematical Society
2 Proyecciones
1 Bulletin of the Australian Mathematical Society
1 Discrete Mathematics
1 Journal of the Franklin Institute
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Mathematics Magazine
1 Beiträge zur Algebra und Geometrie
1 Algebra Universalis
1 Applied Mathematics and Computation
1 Automatica
1 Czechoslovak Mathematical Journal
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 International Journal of Game Theory
1 Journal of Number Theory
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Seminario Matematico della Università di Padova
1 Revista Colombiana de Matemáticas
1 Studia Logica
1 Ergodic Theory and Dynamical Systems
1 Annals of Pure and Applied Logic
1 Bulletin of the Iranian Mathematical Society
1 \(K\)-Theory
1 Revista Matemática Iberoamericana
1 Journal of Automated Reasoning
1 Designs, Codes and Cryptography
1 Elemente der Mathematik
1 Experimental Mathematics
1 Potential Analysis
1 Journal of Applied Non-Classical Logics
1 Algebra Colloquium
1 Annales Mathématiques Blaise Pascal
1 The New York Journal of Mathematics
1 Journal of Difference Equations and Applications
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Honam Mathematical Journal
1 Conformal Geometry and Dynamics
1 Geometry & Topology
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 Applied Mathematics E-Notes
1 Journal of Applied Mathematics
1 North American Actuarial Journal
1 Journal of Discrete Algorithms
1 Fixed Point Theory and Applications
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Bulletin of the American Mathematical Society
1 Chebyshevskiĭ Sbornik
1 Journal of Homotopy and Related Structures
1 Journal of Topology
1 East Asian Mathematical Journal
1 Confluentes Mathematici
1 Science China. Mathematics
1 Problemy Fiziki, Matematiki i Tekhniki
1 ISRN Geometry
1 Journal of Mathematics
1 Prikladnaya Diskretnaya Matematika
all top 5

Cited in 39 Fields

172 Group theory and generalizations (20-XX)
39 Number theory (11-XX)
37 Manifolds and cell complexes (57-XX)
19 Associative rings and algebras (16-XX)
16 Information and communication theory, circuits (94-XX)
13 Combinatorics (05-XX)
12 Functions of a complex variable (30-XX)
11 Field theory and polynomials (12-XX)
11 Topological groups, Lie groups (22-XX)
10 Mathematical logic and foundations (03-XX)
9 Computer science (68-XX)
8 Algebraic topology (55-XX)
7 Commutative algebra (13-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Algebraic geometry (14-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 General algebraic systems (08-XX)
4 Quantum theory (81-XX)
3 General and overarching topics; collections (00-XX)
3 Nonassociative rings and algebras (17-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Abstract harmonic analysis (43-XX)
3 Probability theory and stochastic processes (60-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Functional analysis (46-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Numerical analysis (65-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year