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Author ID: solitar.donald-m Recent zbMATH articles by "Solitar, Donald M."
Published as: Solitar, D.; Solitar, Donald; Solitar, Donald M.
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 38 Publications since 1956, including 4 Books
Co-Authors: 11 Co-Authors with 38 Joint Publications
127 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 1,980 times in 1,731 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
Some two-generator one-relator non-Hopfian groups. Zbl 0108.02702
Baumslag, G.; Solitar, D.
185
1962
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
Elements of finite order in groups with a single defining relation. Zbl 0091.02403
Karras, A.; Magnus, W.; Solitar, D.
46
1960
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
The subgroup separability of free products of two free groups with cyclic amalgamation. Zbl 0571.20015
Brunner, A. M.; Burns, R. G.; Solitar, D.
18
1984
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
Tarski’s problem for solvable groups. Zbl 0614.03031
Rogers, Pat; Smith, Howard; Solitar, Donald
4
1986
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
On binary \(\sigma\)-invariant words in a group. Zbl 0843.20028
Macedonska, O.; Solitar, Donald M.
1
1994
The indices of torsion-free subgroups of Fuchsian groups. Zbl 0526.20039
Burns, R. G.; Solitar, Donald
1
1983
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
On binary \(\sigma\)-invariant words in a group. Zbl 0843.20028
Macedonska, O.; Solitar, Donald M.
1
1994
A note on groups with separable finitely generated subgroups. Zbl 0613.20018
Burns, R. G.; Karrass, A.; Solitar, D.
28
1987
Tarski’s problem for solvable groups. Zbl 0614.03031
Rogers, Pat; Smith, Howard; Solitar, Donald
4
1986
The subgroup separability of free products of two free groups with cyclic amalgamation. Zbl 0571.20015
Brunner, A. M.; Burns, R. G.; Solitar, D.
18
1984
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
The indices of torsion-free subgroups of Fuchsian groups. Zbl 0526.20039
Burns, R. G.; Solitar, Donald
1
1983
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
Some two-generator one-relator non-Hopfian groups. Zbl 0108.02702
Baumslag, G.; Solitar, D.
185
1962
Elements of finite order in groups with a single defining relation. Zbl 0091.02403
Karras, A.; Magnus, W.; Solitar, D.
46
1960
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 1,584 Authors

26 Baumslag, Gilbert
20 Myasnikov, Alexei G.
20 Zalesskii, Pavel
19 Rosenberger, Gerhard
16 Gonçalves, Daciberg Lima
15 Fine, Benjamin L.
15 Solitar, Donald M.
15 Tang, Chi Yu
14 Otto, Friedrich
14 Pride, Stephen James
14 Sokolov, Evgeny Viktorovich
13 Dudkin, Fëdor Anatol’evich
13 Karrass, Abraham
13 Kim, Goansu
12 Guaschi, John
11 Allenby, R. B. J. T.
11 Bardakov, Valeriĭ Georgievich
11 Mikhaĭlov, Roman Valer’evich
11 Satoh, Takao
11 Wise, Daniel T.
10 Ruškuc, Nik
10 Stöhr, Ralph
10 Tumanova, Elena Aleksandrovna
10 Wong, Peng Choon
9 Anshel, Michael
9 Azarov, Dmitriĭ Nikolaevich
9 Gupta, Narain Datt
9 Humphries, Stephen P.
9 Ivanov, Sergei Vladimirovich
9 Kapovich, Ilya
9 Kharlampovich, Olga G.
9 Schupp, Paul E.
8 Burns, Robert G.
8 Madlener, Klaus E.
8 McCool, James
8 Nyberg-Brodda, Carl-Fredrik
8 Roman’kov, Vitaliĭ Anatol’evich
8 Suciu, Alexander I.
7 Dyer, Joan L.
7 Herfort, Wolfgang N.
7 Lewin, Jacques
7 Lubotzky, Alexander
7 Silva, Pedro V.
7 Wong, Kok Bin
7 Wu, Jie
7 Zieschang, Heiner
6 Budkin, Aleksandr Ivanovich
6 Chiswell, Ian M.
6 Gaglione, Anthony M.
6 Grigorchuk, Rostislav Ivanovich
6 Levin, Frank
6 McCullough, Darryl
6 Moldavanskiĭ, D. I.
6 Parry, Gareth P.
6 Raptis, E.
6 Remeslennikov, Vladimir Nikanorovich
6 Ribes, Luis
6 Singh, Mahender
6 Spellman, Dennis
6 Weiß, Armin
5 Baumslag, Benjamin
5 Bellingeri, Paolo
5 Bezverkhniĭ, Vladimir Nikolaevich
5 Bogopolski, Oleg
5 Collins, Donald J.
5 Costa Gonzáles, Antonio Félix
5 de la Harpe, Pierre
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 Martino, Armando
5 Miller, Charles Frederick III
5 Osin, Denis V.
5 Pietrowski, Alfred
5 Stebe, Peter F.
5 Thomas, Richard M.
5 Umirbaev, Ualbaĭ Utmakhanbetovich
5 Ventura Capell, Enric
5 Vershinin, Vladimir V.
5 Wen, Zhixiong
5 Williams, Gerald
5 Zhang, Yiping
4 Aubrun, Nathalie
4 Bachmuth, Seymour
4 Berrick, A. Jon
4 Birman, Joan S.
4 Bou-Rabee, Khalid
4 Brunner, Andrew Michael
4 Button, Jack Oliver
4 Casals-Ruiz, Montserrat
4 de Cornulier, Yves
4 Dicks, Warren
4 Diekert, Volker
4 Đoković, Dragomir Ž.
4 Drensky, Vesselin
...and 1,484 more Authors
all top 5

Cited in 270 Serials

198 Journal of Algebra
99 Transactions of the American Mathematical Society
82 Journal of Pure and Applied Algebra
81 Proceedings of the American Mathematical Society
56 Mathematische Zeitschrift
55 Topology and its Applications
45 Archiv der Mathematik
43 Communications in Algebra
37 Siberian Mathematical Journal
34 Mathematische Annalen
30 International Journal of Algebra and Computation
30 Algebraic & Geometric Topology
28 Journal of Group Theory
26 Geometriae Dedicata
24 Algebra and Logic
24 Journal of Knot Theory and its Ramifications
24 Bulletin of the American Mathematical Society
23 Inventiones Mathematicae
23 Groups, Geometry, and Dynamics
22 Theoretical Computer Science
19 Advances in Mathematics
18 Mathematical Notes
17 Israel Journal of Mathematics
16 Geometry & Topology
15 Semigroup Forum
15 Journal of the Australian Mathematical Society
13 Bulletin of the Australian Mathematical Society
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Chebyshevskiĭ Sbornik
12 Discrete Mathematics
12 Annales de l’Institut Fourier
10 Glasgow Mathematical Journal
9 Journal of Computer and System Sciences
9 Proceedings of the Steklov Institute of Mathematics
8 Journal of the American Mathematical Society
8 Journal of Mathematical Sciences (New York)
8 Journal of Algebra and its Applications
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
7 Algebra Colloquium
7 Journal of Topology
7 Groups, Complexity, Cryptology
6 Communications in Mathematical Physics
6 Rocky Mountain Journal of Mathematics
6 Annals of Pure and Applied Logic
6 Expositiones Mathematicae
6 Lobachevskii Journal of Mathematics
6 Sibirskie Èlektronnye Matematicheskie Izvestiya
5 Journal of the London Mathematical Society. Second Series
5 Michigan Mathematical Journal
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Ergodic Theory and Dynamical Systems
5 Forum Mathematicum
5 Journal of Elasticity
5 Linear Algebra and its Applications
5 Conformal Geometry and Dynamics
5 Journal of the European Mathematical Society (JEMS)
5 Journal of Topology and Analysis
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 Journal of Functional Analysis
4 Osaka Journal of Mathematics
4 Rendiconti del Seminario Matematico della Università di Padova
4 Advances in Applied Mathematics
4 Journal of Symbolic Computation
4 Experimental Mathematics
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 Illinois Journal of Mathematics
3 Journal of Combinatorial Theory. Series B
3 Manuscripta Mathematica
3 Proceedings of the Japan Academy. Series A
3 Results in Mathematics
3 Revista Matemática Iberoamericana
3 Information and Computation
3 L’Enseignement Mathématique. 2e Série
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 Russian Mathematics
3 Electronic Research Announcements of the American Mathematical Society
3 Sbornik: Mathematics
3 Izvestiya: Mathematics
3 Annals of Mathematics. Second Series
3 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
3 European Journal of Mathematics
...and 170 more Serials
all top 5

Cited in 52 Fields

1,233 Group theory and generalizations (20-XX)
397 Manifolds and cell complexes (57-XX)
107 Computer science (68-XX)
102 Algebraic topology (55-XX)
95 Combinatorics (05-XX)
78 Associative rings and algebras (16-XX)
71 Mathematical logic and foundations (03-XX)
67 Algebraic geometry (14-XX)
64 Number theory (11-XX)
61 Nonassociative rings and algebras (17-XX)
61 Dynamical systems and ergodic theory (37-XX)
60 Topological groups, Lie groups (22-XX)
40 Functions of a complex variable (30-XX)
31 Several complex variables and analytic spaces (32-XX)
23 General algebraic systems (08-XX)
22 Category theory; homological algebra (18-XX)
22 Functional analysis (46-XX)
19 Differential geometry (53-XX)
17 Order, lattices, ordered algebraic structures (06-XX)
17 Commutative algebra (13-XX)
17 Geometry (51-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
16 Abstract harmonic analysis (43-XX)
16 Convex and discrete geometry (52-XX)
16 Information and communication theory, circuits (94-XX)
15 Quantum theory (81-XX)
14 Measure and integration (28-XX)
13 \(K\)-theory (19-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 General topology (54-XX)
10 Field theory and polynomials (12-XX)
10 Operator theory (47-XX)
10 Probability theory and stochastic processes (60-XX)
9 History and biography (01-XX)
8 Ordinary differential equations (34-XX)
8 Mechanics of deformable solids (74-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Partial differential equations (35-XX)
5 Systems theory; control (93-XX)
4 General and overarching topics; collections (00-XX)
4 Numerical analysis (65-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Harmonic analysis on Euclidean spaces (42-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

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