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Author ID: karrass.abraham Recent zbMATH articles by "Karrass, Abraham"
Published as: Karrass, A.; Karrass, Abraham; Karrass, Abe
Documents Indexed: 30 Publications since 1956, including 4 Books
Co-Authors: 6 Co-Authors with 30 Joint Publications
108 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 1,725 times in 1,547 Documents Cited by Year
Combinatorial group theory: Presentations of groups in terms of generators and relations. Zbl 0138.25604
Magnus, Wilhelm; Karrass, Abraham; Solitar, Donald
659
1966
Combinatorial group theory. Presentations of groups in terms of generators and relations. 2nd rev. ed. Zbl 0362.20023
Magnus, Wilhelm; Karrass, Abraham; Solitar, Donald
368
1976
Combinatorial group theory. Presentations of groups in terms of generators and relations. Reprint of the 1976 second edition. Zbl 1130.20307
Magnus, Wilhelm; Karrass, Abraham; Solitar, Donald
177
2004
The subgroups of a free product of two groups with an amalgamated subgroup. Zbl 0223.20031
Karrass, A.; Solitar, D.
99
1970
Finite and infinite cyclic extensions of free groups. Zbl 0299.20024
Karrass, A.; Pietrowski, A.; Solitar, D.
89
1973
Subgroups of HNN groups and groups with one defining relation. Zbl 0232.20051
Karrass, A.; Solitar, D.
53
1971
On finitely generated subgroups of a free group. Zbl 0197.29802
Karrass, A.; Solitar, D.
31
1969
Subgroups of infinite index in Fuchsian groups. Zbl 0223.20054
Hoare, A. H. M.; Karrass, A.; Solitar, D.
31
1972
A note on groups with separable finitely generated subgroups. Zbl 0613.20018
Burns, R. G.; Karrass, A.; Solitar, D.
28
1987
The free product of two groups with a malnormal amalgamated subgroup. Zbl 0247.20028
Karrass, A.; Solitar, D.
26
1971
Subgroups of finite index of Fuchsian groups. Zbl 0223.20053
Hoare, A. Howard M.; Karrass, Abraham; Solitar, Donald
18
1971
Combinatorial group theory: Presentations of groups in terms of generators and relations. (Kombinatornaja teorija grupp. Predstavlenie grupp v terminah obrazujuscih i sootnosenii.) Übersetzung aus dem Englischen von D. I. Moldavanskii, A. A. Fridman, Ju. I. Hmelevskii. Herausgegeben von M. D. Grindlinger. Zbl 0295.20040
Magnus, Wilhelm; Karrass, Abraham; Solitar, Donald
18
1974
On one-relator groups having elements of finite order. Zbl 0242.20035
Fischer, J.; Karrass, A.; Solitar, D.
15
1972
Note on a theorem of Schreier. Zbl 0078.01401
Karrass, A.; Solitar, D.
14
1957
Automorphisms of a free product with an amalgamated subgroup. Zbl 0552.20023
Karrass, Abe; Pietrowski, Alfred; Solitar, Donald
13
1984
Some remarks on the infinite symmetric groups. Zbl 0071.02401
Karrass, A.; Solitar, D.
12
1956
Subgroups of NEC groups. Zbl 0266.20038
Hoare, A. H. M.; Karrass, A.; Solitar, D.
12
1973
On free products. Zbl 0089.01303
Karrass, A.; Solitar, D.
10
1958
An improved subgroup theorem for HNN groups with some applications. Zbl 0288.20038
Karrass, A.; Pietrowski, A.; Solitar, D.
9
1974
On the free product of two groups with an amalgamated subgroup of finite index in each factor. Zbl 0204.34302
Karrass, A.; Solitar, D.
6
1970
On the failure of the Howson property for a group with a single defining relation. Zbl 0182.03403
Karrass, A.; Solitar, D.
5
1969
On finitely generated subgroups of a free product. Zbl 0182.03601
Karrass, A.; Solitar, D.
5
1969
On a theorem of Cohen and Lyndon about free bases for normal subgroups. Zbl 0274.20039
Karrass, A.; Solitar, D.
5
1972
On groups with one defining relation having an abelian normal subgroup. Zbl 0214.03902
Karrass, A.; Solitar, D.
4
1969
On finitely generated subgroups which are of finite index in generalized free products. Zbl 0223.20032
Karrass, A.; Solitar, D.
4
1973
Some remarks on braid groups. Zbl 0553.20020
Karrass, Abe; Pietrowski, Alfred; Solitar, Donald
4
1984
One-relator groups having a finitely presented normal subgroup. Zbl 0414.20029
Karrass, A.; Solitar, D.
3
1978
Subgroup theorems in the theory of groups given by defining relations. Zbl 0084.25203
Karrass, A.; Solitar, D.
3
1958
Subgroups with centre in HNN groups. Zbl 0376.20024
Karrass, A.; Solitar, D.
2
1977
Torsion-free groups and amalgamated products. Zbl 0208.03202
Baumslag, G.; Karrass, A.; Solitar, D.
2
1970
Combinatorial group theory. Presentations of groups in terms of generators and relations. Reprint of the 1976 second edition. Zbl 1130.20307
Magnus, Wilhelm; Karrass, Abraham; Solitar, Donald
177
2004
A note on groups with separable finitely generated subgroups. Zbl 0613.20018
Burns, R. G.; Karrass, A.; Solitar, D.
28
1987
Automorphisms of a free product with an amalgamated subgroup. Zbl 0552.20023
Karrass, Abe; Pietrowski, Alfred; Solitar, Donald
13
1984
Some remarks on braid groups. Zbl 0553.20020
Karrass, Abe; Pietrowski, Alfred; Solitar, Donald
4
1984
One-relator groups having a finitely presented normal subgroup. Zbl 0414.20029
Karrass, A.; Solitar, D.
3
1978
Subgroups with centre in HNN groups. Zbl 0376.20024
Karrass, A.; Solitar, D.
2
1977
Combinatorial group theory. Presentations of groups in terms of generators and relations. 2nd rev. ed. Zbl 0362.20023
Magnus, Wilhelm; Karrass, Abraham; Solitar, Donald
368
1976
Combinatorial group theory: Presentations of groups in terms of generators and relations. (Kombinatornaja teorija grupp. Predstavlenie grupp v terminah obrazujuscih i sootnosenii.) Übersetzung aus dem Englischen von D. I. Moldavanskii, A. A. Fridman, Ju. I. Hmelevskii. Herausgegeben von M. D. Grindlinger. Zbl 0295.20040
Magnus, Wilhelm; Karrass, Abraham; Solitar, Donald
18
1974
An improved subgroup theorem for HNN groups with some applications. Zbl 0288.20038
Karrass, A.; Pietrowski, A.; Solitar, D.
9
1974
Finite and infinite cyclic extensions of free groups. Zbl 0299.20024
Karrass, A.; Pietrowski, A.; Solitar, D.
89
1973
Subgroups of NEC groups. Zbl 0266.20038
Hoare, A. H. M.; Karrass, A.; Solitar, D.
12
1973
On finitely generated subgroups which are of finite index in generalized free products. Zbl 0223.20032
Karrass, A.; Solitar, D.
4
1973
Subgroups of infinite index in Fuchsian groups. Zbl 0223.20054
Hoare, A. H. M.; Karrass, A.; Solitar, D.
31
1972
On one-relator groups having elements of finite order. Zbl 0242.20035
Fischer, J.; Karrass, A.; Solitar, D.
15
1972
On a theorem of Cohen and Lyndon about free bases for normal subgroups. Zbl 0274.20039
Karrass, A.; Solitar, D.
5
1972
Subgroups of HNN groups and groups with one defining relation. Zbl 0232.20051
Karrass, A.; Solitar, D.
53
1971
The free product of two groups with a malnormal amalgamated subgroup. Zbl 0247.20028
Karrass, A.; Solitar, D.
26
1971
Subgroups of finite index of Fuchsian groups. Zbl 0223.20053
Hoare, A. Howard M.; Karrass, Abraham; Solitar, Donald
18
1971
The subgroups of a free product of two groups with an amalgamated subgroup. Zbl 0223.20031
Karrass, A.; Solitar, D.
99
1970
On the free product of two groups with an amalgamated subgroup of finite index in each factor. Zbl 0204.34302
Karrass, A.; Solitar, D.
6
1970
Torsion-free groups and amalgamated products. Zbl 0208.03202
Baumslag, G.; Karrass, A.; Solitar, D.
2
1970
On finitely generated subgroups of a free group. Zbl 0197.29802
Karrass, A.; Solitar, D.
31
1969
On the failure of the Howson property for a group with a single defining relation. Zbl 0182.03403
Karrass, A.; Solitar, D.
5
1969
On finitely generated subgroups of a free product. Zbl 0182.03601
Karrass, A.; Solitar, D.
5
1969
On groups with one defining relation having an abelian normal subgroup. Zbl 0214.03902
Karrass, A.; Solitar, D.
4
1969
Combinatorial group theory: Presentations of groups in terms of generators and relations. Zbl 0138.25604
Magnus, Wilhelm; Karrass, Abraham; Solitar, Donald
659
1966
On free products. Zbl 0089.01303
Karrass, A.; Solitar, D.
10
1958
Subgroup theorems in the theory of groups given by defining relations. Zbl 0084.25203
Karrass, A.; Solitar, D.
3
1958
Note on a theorem of Schreier. Zbl 0078.01401
Karrass, A.; Solitar, D.
14
1957
Some remarks on the infinite symmetric groups. Zbl 0071.02401
Karrass, A.; Solitar, D.
12
1956
all top 5

Cited by 1,453 Authors

20 Zalesskii, Pavel
19 Baumslag, Gilbert
18 Myasnikov, Alexei G.
18 Rosenberger, Gerhard
15 Fine, Benjamin L.
15 Solitar, Donald M.
14 Gonçalves, Daciberg Lima
14 Otto, Friedrich
13 Karrass, Abraham
13 Pride, Stephen James
13 Tang, Chi Yu
12 Kim, Goansu
12 Sokolov, Evgeny Viktorovich
11 Guaschi, John
11 Satoh, Takao
10 Bardakov, Valeriĭ Georgievich
10 Mikhaĭlov, Roman Valer’evich
10 Ruškuc, Nik
10 Stöhr, Ralph
10 Wise, Daniel T.
9 Allenby, R. B. J. T.
9 Anshel, Michael
9 Gupta, Narain Datt
9 Humphries, Stephen P.
9 Ivanov, Sergei Vladimirovich
9 Tumanova, Elena Aleksandrovna
8 Burns, Robert G.
8 Kapovich, Ilya
8 Kharlampovich, Olga G.
8 Madlener, Klaus E.
8 Nyberg-Brodda, Carl-Fredrik
8 Roman’kov, Vitaliĭ Anatol’evich
8 Schupp, Paul E.
7 Herfort, Wolfgang N.
7 Lewin, Jacques
7 McCool, James
7 Silva, Pedro V.
7 Suciu, Alexander I.
7 Wong, Peng Choon
7 Wu, Jie
7 Zieschang, Heiner
6 Chiswell, Ian M.
6 Dyer, Joan L.
6 Gaglione, Anthony M.
6 McCullough, Darryl
6 Parry, Gareth P.
6 Raptis, E.
6 Remeslennikov, Vladimir Nikanorovich
6 Ribes, Luis
6 Singh, Mahender
6 Spellman, Dennis
6 Weiß, Armin
5 Bellingeri, Paolo
5 Bezverkhniĭ, Vladimir Nikolaevich
5 Budkin, Aleksandr Ivanovich
5 Costa Gonzáles, Antonio Félix
5 Droms, Carl
5 Evans, Martin J.
5 Friedl, Stefan
5 Gersten, Stephen M.
5 Gongopadhyay, Krishnendu
5 Gray, Robert D.
5 Howie, James
5 Leininger, Christopher J.
5 Levin, Frank
5 Lubotzky, Alexander
5 Martino, Armando
5 Stebe, Peter F.
5 Thomas, Richard M.
5 Umirbaev, Ualbaĭ Utmakhanbetovich
5 Ventura Capell, Enric
5 Vershinin, Vladimir V.
5 Wen, Zhixiong
5 Zhang, Yiping
4 Bachmuth, Seymour
4 Baumslag, Benjamin
4 Berrick, A. Jon
4 Birman, Joan S.
4 Brunner, Andrew Michael
4 de la Harpe, Pierre
4 Dicks, Warren
4 Đoković, Dragomir Ž.
4 Drensky, Vesselin
4 Edjvet, Martin
4 Elder, Murray J.
4 Falk, Michael J.
4 Formanek, Edward W.
4 Gilman, Jane P.
4 Glass, Andrew M. W.
4 Grigorchuk, Rostislav Ivanovich
4 Hoare, A. Howard M.
4 Kanenobu, Taizo
4 Linnell, Peter Arnold
4 Lyndon, Roger C.
4 Metaftsis, Vasileios
4 Miller, Charles Frederick III
4 Mochizuki, Horace Y.
4 Moran, Siegfried
4 Morita, Shigeyuki
4 Naik, Tushar Kanta
...and 1,353 more Authors
all top 5

Cited in 253 Serials

189 Journal of Algebra
92 Transactions of the American Mathematical Society
77 Proceedings of the American Mathematical Society
76 Journal of Pure and Applied Algebra
56 Mathematische Zeitschrift
51 Topology and its Applications
38 Archiv der Mathematik
34 Communications in Algebra
31 Mathematische Annalen
30 Siberian Mathematical Journal
29 Algebraic & Geometric Topology
24 Journal of Group Theory
23 Geometriae Dedicata
22 Inventiones Mathematicae
22 Theoretical Computer Science
21 Bulletin of the American Mathematical Society
20 International Journal of Algebra and Computation
20 Journal of Knot Theory and its Ramifications
19 Advances in Mathematics
17 Groups, Geometry, and Dynamics
15 Mathematical Notes
15 Algebra and Logic
13 Bulletin of the Australian Mathematical Society
13 Israel Journal of Mathematics
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Geometry & Topology
12 Discrete Mathematics
12 Semigroup Forum
11 Journal of the Australian Mathematical Society
10 Annales de l’Institut Fourier
10 Chebyshevskiĭ Sbornik
9 Glasgow Mathematical Journal
8 Journal of Computer and System Sciences
8 Journal of the American Mathematical Society
8 Journal of Mathematical Sciences (New York)
8 Journal of Algebra and its Applications
8 Proceedings of the Steklov Institute of Mathematics
7 Physics Letters. A
7 Duke Mathematical Journal
7 Journal of Number Theory
7 Journal of Soviet Mathematics
7 Monatshefte für Mathematik
7 European Journal of Combinatorics
6 Annals of Pure and Applied Logic
6 Algebra Colloquium
6 Journal of Topology
5 Communications in Mathematical Physics
5 Rocky Mountain Journal of Mathematics
5 Journal of the London Mathematical Society. Second Series
5 Forum Mathematicum
5 Journal of Elasticity
5 Linear Algebra and its Applications
5 Expositiones Mathematicae
5 Conformal Geometry and Dynamics
5 Lobachevskii Journal of Mathematics
5 Sibirskie Èlektronnye Matematicheskie Izvestiya
5 Groups, Complexity, Cryptology
5 International Journal of Group Theory
4 Discrete Applied Mathematics
4 Journal d’Analyse Mathématique
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Acta Mathematica
4 Bulletin of the London Mathematical Society
4 Michigan Mathematical Journal
4 Osaka Journal of Mathematics
4 Advances in Applied Mathematics
4 Journal of Symbolic Computation
4 St. Petersburg Mathematical Journal
4 Selecta Mathematica. New Series
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Winter Braids Lecture Notes
3 Mathematics of Computation
3 Canadian Journal of Mathematics
3 Journal of Combinatorial Theory. Series B
3 Journal of Functional Analysis
3 Manuscripta Mathematica
3 Proceedings of the Japan Academy. Series A
3 Rendiconti del Seminario Matematico della Università di Padova
3 Ergodic Theory and Dynamical Systems
3 Revista Matemática Iberoamericana
3 Information and Computation
3 Bulletin of the American Mathematical Society. New Series
3 RAIRO. Informatique Théorique et Applications
3 Applicable Algebra in Engineering, Communication and Computing
3 Cybernetics and Systems Analysis
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Experimental Mathematics
3 Sbornik: Mathematics
3 Annals of Mathematics. Second Series
3 Journal of the European Mathematical Society (JEMS)
3 Journal of Topology and Analysis
3 European Journal of Mathematics
2 Acta Informatica
2 Information Processing Letters
2 Journal of Mathematical Analysis and Applications
2 Physica A
2 Chaos, Solitons and Fractals
2 The Mathematical Intelligencer
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Cahiers de Topologie et Géométrie Différentielle Catégoriques
...and 153 more Serials
all top 5

Cited in 51 Fields

1,093 Group theory and generalizations (20-XX)
368 Manifolds and cell complexes (57-XX)
98 Computer science (68-XX)
94 Algebraic topology (55-XX)
82 Combinatorics (05-XX)
74 Associative rings and algebras (16-XX)
63 Algebraic geometry (14-XX)
62 Mathematical logic and foundations (03-XX)
61 Number theory (11-XX)
60 Nonassociative rings and algebras (17-XX)
53 Topological groups, Lie groups (22-XX)
51 Dynamical systems and ergodic theory (37-XX)
40 Functions of a complex variable (30-XX)
31 Several complex variables and analytic spaces (32-XX)
22 General algebraic systems (08-XX)
22 Category theory; homological algebra (18-XX)
19 Differential geometry (53-XX)
17 Geometry (51-XX)
16 Order, lattices, ordered algebraic structures (06-XX)
16 Commutative algebra (13-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
16 Information and communication theory, circuits (94-XX)
14 Functional analysis (46-XX)
14 Convex and discrete geometry (52-XX)
14 Quantum theory (81-XX)
13 Abstract harmonic analysis (43-XX)
12 \(K\)-theory (19-XX)
12 Measure and integration (28-XX)
11 Global analysis, analysis on manifolds (58-XX)
10 Field theory and polynomials (12-XX)
10 General topology (54-XX)
8 History and biography (01-XX)
8 Ordinary differential equations (34-XX)
8 Mechanics of deformable solids (74-XX)
7 Operator theory (47-XX)
7 Probability theory and stochastic processes (60-XX)
5 Partial differential equations (35-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Systems theory; control (93-XX)
4 General and overarching topics; collections (00-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Numerical analysis (65-XX)
3 Mechanics of particles and systems (70-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Statistics (62-XX)
1 Approximations and expansions (41-XX)
1 Fluid mechanics (76-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year