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Gersten, Stephen M.

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Author ID: gersten.stephen-m Recent zbMATH articles by "Gersten, Stephen M."
Published as: Gersten, S. M.; Gersten, Steve M.; Gersten, Stephen M.; Gersten, Stephen; Gersten, Steve
Documents Indexed: 78 Publications since 1965, including 2 Books

Publications by Year

Citations contained in zbMATH Open

68 Publications have been cited 882 times in 648 Documents Cited by Year
Rational subgroups of biautomatic groups. Zbl 0744.20035
Gersten, S. M.; Short, H. B.
60
1991
Small cancellation theory and automatic groups. Zbl 0714.20016
Gersten, S. M.; Short, H. B.
56
1990
Automatic groups and amalgams. Zbl 0749.20006
Baumslag, G.; Gersten, S. M.; Shapiro, M.; Short, H.
46
1991
Intersections of finitely generated subgroups of free groups and resolutions of graphs. Zbl 0521.20014
Gersten, S. M.
41
1983
Higher \(K\)-theory of rings. Zbl 0285.18010
Gersten, S. M.
38
1973
Small cancellation theory and automatic groups. II. Zbl 0734.20014
Gersten, S. M.; Short, H.
33
1991
Isoperimetric and isodiametric functions of finite presentations. Zbl 0829.20054
Gersten, Steve M.
33
1993
Quadratic divergence of geodesics in CAT(0) spaces. Zbl 0809.53054
Gersten, S. M.
28
1994
Some exact sequences in the higher \(K\)-theory of rings. Zbl 0289.18011
Gersten, S. M.
24
1973
A presentation for the special automorphism group of a free group. Zbl 0542.20021
Gersten, S. M.
24
1984
On Mayer-Vietoris functors and algebraic K-theory. Zbl 0215.09801
Gersten, S. M.
23
1971
Dehn functions and \(l_ 1\)-norms of finite presentations. Zbl 0805.20026
Gersten, S. M.
23
1992
K-theory of free rings. Zbl 0299.18006
Gersten, S. M.
19
1974
Fixed points of automorphisms of free groups. Zbl 0616.20014
Gersten, S. M.
19
1987
Reducible diagrams and equations over groups. Zbl 0644.20024
Gersten, S. M.
19
1987
Cohomological lower bounds for isoperimetric functions on groups. Zbl 0933.20026
Gersten, S. M.
18
1998
The automorphism group of a free group is not a CAT(0) group. Zbl 0807.20034
Gersten, S. M.
18
1994
Divergence in 3-manifold groups. Zbl 0841.57023
Gersten, S. M.
18
1994
The optimal isoperimetric inequality for torus bundles over the circle. Zbl 0852.20031
Bridson, M. R.; Gersten, S. M.
18
1996
Bounded cocycles and combings of groups. Zbl 0762.57001
Gersten, S. M.
16
1992
Homotopy theory of rings. Zbl 0264.18009
Gersten, S. M.
15
1971
Algebraic \(K\)-theory as generalized sheaf cohomology. Zbl 0291.18017
Brown, Kenneth S.; Gersten, Stephen M.
15
1973
Quasi-isometry invariance of cohomological dimension. Zbl 0805.20043
Gersten, Steve M.
14
1993
On the spectrum of algebraic K-theory. Zbl 0261.18014
Gersten, S. M.
14
1972
Subgroups of word hyperbolic groups in dimension 2. Zbl 0861.20033
Gersten, S. M.
14
1996
The localization theorem for projective modules. Zbl 0332.18013
Gersten, S. M.
13
1974
On the functor \(K_ 2\), I. Zbl 0215.09704
Gersten, S. M.
13
1971
Essays in group theory. (Seminar held at the Mathematical Sciences Research Institute, Berkeley, California, June 1985). Zbl 0626.00014
Gersten, S. M. (ed.)
13
1987
K\(_3\) of a ring is H\(_3\) of the Steinberg group. Zbl 0272.55006
Gersten, S. M.
11
1973
On Whitehead’s algorithm. Zbl 0537.20015
Gersten, S. M.
10
1984
Irreducible outer automorphisms of a free group. Zbl 0717.20026
Gersten, S. M.; Stallings, J. R.
9
1991
Casson’s idea about \(3\)-manifolds whose universal cover is \({\mathbb{R}}^ 3\). Zbl 0739.57010
Stallings, John R.; Gersten, S. M.
9
1992
Conservative groups, indicability, and a conjecture of Howie. Zbl 0513.20017
Gersten, S. M.
9
1983
Finiteness properties of asynchronously automatic groups. Zbl 0849.20025
Gersten, S. M.
9
1995
The double exponential theorem for isodiametric and isoperimetric functions. Zbl 0728.20029
Gersten, S. M.
8
1992
Isoperimetric inequalities for nilpotent groups. Zbl 1038.20028
Gersten, Steve M.; Holt, Derek F.; Riley, Tim R.
8
2003
Filling length in finitely presentable groups. Zbl 1040.20029
Gersten, Steve M.; Riley, Tim R.
7
2002
Problems about higher \(K\)-functors. Zbl 0285.18011
Gersten, S. M.
7
1973
On branched covers of the 2-sphere by the 2-sphere. Zbl 0632.57002
Gersten, S. M.
7
1987
On fixed points of certain automorphisms of free groups. Zbl 0502.20020
Gersten, S. M.
7
1984
Addendum: On fixed points of certain automorphisms of free groups. Zbl 0539.20019
Gersten, S. M.
7
1984
A product formula for Wall’s obstruction. Zbl 0152.22001
Gersten, S. M.
7
1966
Whitehead groups of free associative algebras. Zbl 0234.16019
Gersten, Stephen
6
1965
Selected problems. Zbl 0616.20015
Gersten, S. M.
6
1987
Branched coverings of 2-complexes and diagrammatic reducibility. Zbl 0644.20023
Gersten, S. M.
6
1987
The Whitehead theorem for nilpotent spaces. Zbl 0303.55007
Gersten, S. M.
5
1975
Preservation and distortion of area in finitely presented groups. Zbl 0868.20033
Gersten, S. M.
4
1996
On class groups of free products. Zbl 0191.03903
Gersten, S. M.
4
1968
A relation between two simplicial algebraic K-theories. Zbl 0215.09802
Gersten, S. M.; Rector, D. L.
4
1971
A Mayer-Vietoris sequence in the K-theory of localizations. Zbl 0266.18012
Gersten, S. M.
4
1972
On the K-theory of Laurent polynomials. Zbl 0283.13006
Gersten, S. M.
4
1971
On fixed points of automorphisms of finitely generated free groups. Zbl 0512.20014
Gersten, S. M.
4
1983
A short proof of the algebraic Weierstrass preparation theorem. Zbl 0514.13014
Gersten, S. M.
4
1983
Automatic groups and amalgams – a survey. Zbl 0749.20017
Baumslag, G.; Gersten, S. M.; Shapiro, M.; Short, H.
4
1992
Introduction to hyperbolic and automatic groups. Zbl 0926.20028
Gersten, S. M.
3
1999
Some duality conjectures for finite graphs and their group theoretic consequences. Zbl 1089.20017
Gersten, S. M.; Riley, T. R.
3
2005
Combinatorial group theory and topology. (Selected papers from a conference held at Alta, Utah, July 15-18, 1984). Zbl 0611.00010
Gersten, S. M. (ed.); Stallings, John R. (ed.)
3
1987
Problems on automatic groups. Zbl 0781.20022
Gersten, S. M.
3
1992
A homological characterization of hyperbolic groups. Zbl 0909.20032
Allcock, D. J.; Gersten, S. M.
2
1999
Higher K-theory for regular schemes. Zbl 0266.18011
Gersten, S. M.
2
1973
Products of conjugacy classes in a free group: a counterexample. Zbl 0601.20034
Gersten, S. M.
2
1986
The torsion of a self equivalence. Zbl 0153.25003
Gersten, S. M.
2
1967
Coherence in doubled groups. Zbl 0485.20017
Gersten, S. M.
2
1981
The gallery length filling function and a geometric inequality for filling length. Zbl 1096.20031
Gersten, S. M.; Riley, T. R.
1
2006
K-theoretic interpretation of tame symbols on k(t). Zbl 0198.36602
Gersten, S. M.
1
1970
Homotopy theory of rings and algebraic K-theory. Zbl 0209.24502
Gersten, S. M.
1
1971
On Gauss’s first proof of the fundamental theorem of algebra. Zbl 0648.20036
Gersten, S. M.; Stallings, John R.
1
1988
Isoperimetric functions of groups and exotic cohomology. Zbl 0851.20036
Gersten, S. M.
1
1995
The gallery length filling function and a geometric inequality for filling length. Zbl 1096.20031
Gersten, S. M.; Riley, T. R.
1
2006
Some duality conjectures for finite graphs and their group theoretic consequences. Zbl 1089.20017
Gersten, S. M.; Riley, T. R.
3
2005
Isoperimetric inequalities for nilpotent groups. Zbl 1038.20028
Gersten, Steve M.; Holt, Derek F.; Riley, Tim R.
8
2003
Filling length in finitely presentable groups. Zbl 1040.20029
Gersten, Steve M.; Riley, Tim R.
7
2002
Introduction to hyperbolic and automatic groups. Zbl 0926.20028
Gersten, S. M.
3
1999
A homological characterization of hyperbolic groups. Zbl 0909.20032
Allcock, D. J.; Gersten, S. M.
2
1999
Cohomological lower bounds for isoperimetric functions on groups. Zbl 0933.20026
Gersten, S. M.
18
1998
The optimal isoperimetric inequality for torus bundles over the circle. Zbl 0852.20031
Bridson, M. R.; Gersten, S. M.
18
1996
Subgroups of word hyperbolic groups in dimension 2. Zbl 0861.20033
Gersten, S. M.
14
1996
Preservation and distortion of area in finitely presented groups. Zbl 0868.20033
Gersten, S. M.
4
1996
Finiteness properties of asynchronously automatic groups. Zbl 0849.20025
Gersten, S. M.
9
1995
Isoperimetric functions of groups and exotic cohomology. Zbl 0851.20036
Gersten, S. M.
1
1995
Quadratic divergence of geodesics in CAT(0) spaces. Zbl 0809.53054
Gersten, S. M.
28
1994
The automorphism group of a free group is not a CAT(0) group. Zbl 0807.20034
Gersten, S. M.
18
1994
Divergence in 3-manifold groups. Zbl 0841.57023
Gersten, S. M.
18
1994
Isoperimetric and isodiametric functions of finite presentations. Zbl 0829.20054
Gersten, Steve M.
33
1993
Quasi-isometry invariance of cohomological dimension. Zbl 0805.20043
Gersten, Steve M.
14
1993
Dehn functions and \(l_ 1\)-norms of finite presentations. Zbl 0805.20026
Gersten, S. M.
23
1992
Bounded cocycles and combings of groups. Zbl 0762.57001
Gersten, S. M.
16
1992
Casson’s idea about \(3\)-manifolds whose universal cover is \({\mathbb{R}}^ 3\). Zbl 0739.57010
Stallings, John R.; Gersten, S. M.
9
1992
The double exponential theorem for isodiametric and isoperimetric functions. Zbl 0728.20029
Gersten, S. M.
8
1992
Automatic groups and amalgams – a survey. Zbl 0749.20017
Baumslag, G.; Gersten, S. M.; Shapiro, M.; Short, H.
4
1992
Problems on automatic groups. Zbl 0781.20022
Gersten, S. M.
3
1992
Rational subgroups of biautomatic groups. Zbl 0744.20035
Gersten, S. M.; Short, H. B.
60
1991
Automatic groups and amalgams. Zbl 0749.20006
Baumslag, G.; Gersten, S. M.; Shapiro, M.; Short, H.
46
1991
Small cancellation theory and automatic groups. II. Zbl 0734.20014
Gersten, S. M.; Short, H.
33
1991
Irreducible outer automorphisms of a free group. Zbl 0717.20026
Gersten, S. M.; Stallings, J. R.
9
1991
Small cancellation theory and automatic groups. Zbl 0714.20016
Gersten, S. M.; Short, H. B.
56
1990
On Gauss’s first proof of the fundamental theorem of algebra. Zbl 0648.20036
Gersten, S. M.; Stallings, John R.
1
1988
Fixed points of automorphisms of free groups. Zbl 0616.20014
Gersten, S. M.
19
1987
Reducible diagrams and equations over groups. Zbl 0644.20024
Gersten, S. M.
19
1987
Essays in group theory. (Seminar held at the Mathematical Sciences Research Institute, Berkeley, California, June 1985). Zbl 0626.00014
Gersten, S. M.
13
1987
On branched covers of the 2-sphere by the 2-sphere. Zbl 0632.57002
Gersten, S. M.
7
1987
Selected problems. Zbl 0616.20015
Gersten, S. M.
6
1987
Branched coverings of 2-complexes and diagrammatic reducibility. Zbl 0644.20023
Gersten, S. M.
6
1987
Combinatorial group theory and topology. (Selected papers from a conference held at Alta, Utah, July 15-18, 1984). Zbl 0611.00010
Gersten, S. M.; Stallings, John R.
3
1987
Products of conjugacy classes in a free group: a counterexample. Zbl 0601.20034
Gersten, S. M.
2
1986
A presentation for the special automorphism group of a free group. Zbl 0542.20021
Gersten, S. M.
24
1984
On Whitehead’s algorithm. Zbl 0537.20015
Gersten, S. M.
10
1984
On fixed points of certain automorphisms of free groups. Zbl 0502.20020
Gersten, S. M.
7
1984
Addendum: On fixed points of certain automorphisms of free groups. Zbl 0539.20019
Gersten, S. M.
7
1984
Intersections of finitely generated subgroups of free groups and resolutions of graphs. Zbl 0521.20014
Gersten, S. M.
41
1983
Conservative groups, indicability, and a conjecture of Howie. Zbl 0513.20017
Gersten, S. M.
9
1983
On fixed points of automorphisms of finitely generated free groups. Zbl 0512.20014
Gersten, S. M.
4
1983
A short proof of the algebraic Weierstrass preparation theorem. Zbl 0514.13014
Gersten, S. M.
4
1983
Coherence in doubled groups. Zbl 0485.20017
Gersten, S. M.
2
1981
The Whitehead theorem for nilpotent spaces. Zbl 0303.55007
Gersten, S. M.
5
1975
K-theory of free rings. Zbl 0299.18006
Gersten, S. M.
19
1974
The localization theorem for projective modules. Zbl 0332.18013
Gersten, S. M.
13
1974
Higher \(K\)-theory of rings. Zbl 0285.18010
Gersten, S. M.
38
1973
Some exact sequences in the higher \(K\)-theory of rings. Zbl 0289.18011
Gersten, S. M.
24
1973
Algebraic \(K\)-theory as generalized sheaf cohomology. Zbl 0291.18017
Brown, Kenneth S.; Gersten, Stephen M.
15
1973
K\(_3\) of a ring is H\(_3\) of the Steinberg group. Zbl 0272.55006
Gersten, S. M.
11
1973
Problems about higher \(K\)-functors. Zbl 0285.18011
Gersten, S. M.
7
1973
Higher K-theory for regular schemes. Zbl 0266.18011
Gersten, S. M.
2
1973
On the spectrum of algebraic K-theory. Zbl 0261.18014
Gersten, S. M.
14
1972
A Mayer-Vietoris sequence in the K-theory of localizations. Zbl 0266.18012
Gersten, S. M.
4
1972
On Mayer-Vietoris functors and algebraic K-theory. Zbl 0215.09801
Gersten, S. M.
23
1971
Homotopy theory of rings. Zbl 0264.18009
Gersten, S. M.
15
1971
On the functor \(K_ 2\), I. Zbl 0215.09704
Gersten, S. M.
13
1971
A relation between two simplicial algebraic K-theories. Zbl 0215.09802
Gersten, S. M.; Rector, D. L.
4
1971
On the K-theory of Laurent polynomials. Zbl 0283.13006
Gersten, S. M.
4
1971
Homotopy theory of rings and algebraic K-theory. Zbl 0209.24502
Gersten, S. M.
1
1971
K-theoretic interpretation of tame symbols on k(t). Zbl 0198.36602
Gersten, S. M.
1
1970
On class groups of free products. Zbl 0191.03903
Gersten, S. M.
4
1968
The torsion of a self equivalence. Zbl 0153.25003
Gersten, S. M.
2
1967
A product formula for Wall’s obstruction. Zbl 0152.22001
Gersten, S. M.
7
1966
Whitehead groups of free associative algebras. Zbl 0234.16019
Gersten, Stephen
6
1965
all top 5

Cited by 579 Authors

24 Gersten, Stephen M.
17 Myasnikov, Alexei G.
13 Wise, Daniel T.
12 Kapovich, Ilya
10 Bridson, Martin R.
10 Mosher, Lee
9 Holt, Derek F.
8 Howie, James
8 Sapir, Mark Valentinovich
8 Weibel, Charles A.
7 Behrstock, Jason A.
7 Ivanov, Sergei Vladimirovich
6 Druţu, Cornelia
6 Hermiller, Susan M.
6 Martino, Armando
6 Ol’shanskiĭ, Aleksandr Yur’evich
6 Rees, Sarah
6 Sherman, Clayton C.
6 Silva, Pedro V.
5 Cortiñas, Guillermo H.
5 Hagen, Mark F.
5 Handel, Michael
5 Kharlampovich, Olga G.
5 Lee, Sangjin
5 Martínez-Pedroza, Eduardo
5 Osin, Denis V.
5 Otera, Daniele Ettore
5 Tran Cong Hung
5 Ventura Capell, Enric
5 Weil, Pascal
4 Bloch, Spencer J.
4 Brady, Noel
4 Brick, Stephen G.
4 Choo, Koo-Guan
4 Ciobanu, Laura
4 Conner, Gregory R.
4 Dicks, Warren
4 Dranishnikov, Alexander Nikolaevich
4 Edjvet, Martin
4 Farb, Benson
4 Goldstein, Richard Z.
4 Gray, Robert D.
4 Grayson, Daniel Richard
4 Kuku, Aderemi O.
4 Lee, Eonkyung
4 Mihalik, Michael L.
4 Neumann, Walter David
4 Noskov, Guennadi A.
4 Pittet, Christophe
4 Riley, Timothy R.
4 Roberts, Leslie G.
4 Roman’kov, Vitaly Anatol’evich
4 Satoh, Takao
4 Schupp, Paul E.
4 Short, Hamish
4 Steinberg, Benjamin
4 Suslin, Andreĭ Aleksandrovich
4 Swan, Richard Gordon
4 Tessera, Romain
4 Thomas, Richard M.
4 Ushakov, Alexander S.
4 Young, Robert
3 Baumslag, Gilbert
3 Bestvina, Mladen
3 Brady, Thomas
3 Brittenham, Mark
3 Button, Jack Oliver
3 Cain, Alan J.
3 Charney, Ruth M.
3 Diekert, Volker
3 Elder, Murray J.
3 Friedlander, Eric Mark
3 Funar, Louis
3 Gillet, Henri A.
3 Harlander, Jens
3 Jardine, John Frederick
3 Kapovich, Michael
3 Leuzinger, Enrico
3 Lohrey, Markus
3 Lubotzky, Alexander
3 Lück, Wolfgang
3 Meier, John
3 Mineyev, Igor
3 Nabutovsky, Alexander
3 Nguyen, Hoang Thanh
3 Peng, Irine
3 Pride, Stephen J.
3 Rakviashvili, Giorgi
3 Ranicki, Andrew A.
3 Rosebrock, Stephan
3 Ruane, Kim E.
3 Shimomoto, Kazuma
3 Sisto, Alessandro
3 Thom, Andreas Berthold
3 Thomason, Robert Wayne
3 Williams, Gerald
3 Woodhouse, Daniel J.
2 Ara, Pere
2 Arzhantseva, Goulnara N.
2 Bartels, Arthur C.
...and 479 more Authors
all top 5

Cited in 122 Serials

57 Journal of Algebra
54 Journal of Pure and Applied Algebra
42 International Journal of Algebra and Computation
40 Transactions of the American Mathematical Society
27 Proceedings of the American Mathematical Society
23 Inventiones Mathematicae
20 Geometry & Topology
19 Geometriae Dedicata
19 Algebraic & Geometric Topology
18 Advances in Mathematics
17 Communications in Algebra
17 Topology and its Applications
14 Mathematische Annalen
14 Geometric and Functional Analysis. GAFA
14 Journal of Group Theory
12 Bulletin of the American Mathematical Society
10 Groups, Geometry, and Dynamics
9 Duke Mathematical Journal
8 \(K\)-Theory
7 Israel Journal of Mathematics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Bulletin of the American Mathematical Society. New Series
6 Annales de l’Institut Fourier
6 Archiv der Mathematik
6 Glasgow Mathematical Journal
6 Annals of Mathematics. Second Series
6 Journal of Topology and Analysis
5 Mathematische Zeitschrift
5 Proceedings of the Edinburgh Mathematical Society. Series II
4 Bulletin of the Australian Mathematical Society
4 Journal of Soviet Mathematics
4 Memoirs of the American Mathematical Society
4 Theoretical Computer Science
4 Journal of the American Mathematical Society
4 Groups, Complexity, Cryptology
3 Acta Mathematica
3 Publications Mathématiques
3 Michigan Mathematical Journal
3 Semigroup Forum
3 Forum Mathematicum
3 Journal of the Institute of Mathematics of Jussieu
2 Fundamenta Mathematicae
2 Illinois Journal of Mathematics
2 Pacific Journal of Mathematics
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Siberian Mathematical Journal
2 European Journal of Combinatorics
2 Ergodic Theory and Dynamical Systems
2 Journal of Symbolic Computation
2 Discrete & Computational Geometry
2 Publicacions Matemàtiques
2 Differential Geometry and its Applications
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Applicable Algebra in Engineering, Communication and Computing
2 Journal of Mathematical Sciences (New York)
2 Sbornik: Mathematics
2 Chebyshevskiĭ Sbornik
2 Journal of Homotopy and Related Structures
2 Bulletin of the Georgian National Academy of Sciences. New Series
2 Bulletin of Mathematical Sciences
1 American Mathematical Monthly
1 Lithuanian Mathematical Journal
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Algebra and Logic
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin de la Société Mathématique de France
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Functional Analysis and its Applications
1 Journal of Combinatorial Theory. Series A
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematika
1 Monatshefte für Mathematik
1 Quaestiones Mathematicae
1 Rendiconti del Seminario Matematico della Università di Padova
1 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Transactions of the Moscow Mathematical Society
1 Advances in Applied Mathematics
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Algorithmica
1 Revista Matemática Iberoamericana
1 International Journal of Mathematics
1 Random Structures & Algorithms
1 L’Enseignement Mathématique. 2e Série
1 Glasnik Matematički. Serija III
1 International Journal of Computer Mathematics
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Journal of Knot Theory and its Ramifications
1 Computational Complexity
1 Topology Proceedings
...and 22 more Serials

Citations by Year