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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 1,475 times in 1,262 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
424
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
216
1976
Some two-generator one-relator non-Hopfian groups. Zbl 0108.02702
Baumslag, G.; Solitar, D.
165
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
123
2004
The subgroups of a free product of two groups with an amalgamated subgroup. Zbl 0223.20031
Karrass, A.; Solitar, D.
91
1970
Finite and infinite cyclic extensions of free groups. Zbl 0299.20024
Karrass, A.; Pietrowski, A.; Solitar, D.
78
1973
Subgroups of HNN groups and groups with one defining relation. Zbl 0232.20051
Karrass, A.; Solitar, D.
50
1971
Elements of finite order in groups with a single defining relation. Zbl 0091.02403
Karras, A.; Magnus, W.; Solitar, D.
44
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.
28
1972
The free product of two groups with a malnormal amalgamated subgroup. Zbl 0247.20028
Karrass, A.; Solitar, D.
26
1971
A note on groups with separable finitely generated subgroups. Zbl 0613.20018
Burns, R. G.; Karrass, A.; Solitar, D.
25
1987
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
17
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.
17
1984
On one-relator groups having elements of finite order. Zbl 0242.20035
Fischer, J.; Karrass, A.; Solitar, D.
14
1972
Note on a theorem of Schreier. Zbl 0078.01401
Karrass, A.; Solitar, D.
12
1957
Subgroups of NEC groups. Zbl 0266.20038
Hoare, A. H. M.; Karrass, A.; Solitar, D.
11
1973
Some remarks on the infinite symmetric groups. Zbl 0071.02401
Karrass, A.; Solitar, D.
10
1956
On free products. Zbl 0089.01303
Karrass, A.; Solitar, D.
10
1958
Automorphisms of a free product with an amalgamated subgroup. Zbl 0552.20023
Karrass, Abe; Pietrowski, Alfred; Solitar, Donald
9
1984
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.
5
1970
On a theorem of Cohen and Lyndon about free bases for normal subgroups. Zbl 0274.20039
Karrass, A.; Solitar, D.
5
1972
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
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
Some remarks on braid groups. Zbl 0553.20020
Karrass, Abe; Pietrowski, Alfred; Solitar, Donald
4
1984
On finitely generated subgroups which are of finite index in generalized free products. Zbl 0223.20032
Karrass, A.; Solitar, D.
3
1973
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
Torsion-free groups and amalgamated products. Zbl 0208.03202
Baumslag, G.; Karrass, A.; Solitar, D.
2
1970
Subgroups with centre in HNN groups. Zbl 0376.20024
Karrass, A.; Solitar, D.
2
1977
The indices of torsion-free subgroups of Fuchsian groups. Zbl 0526.20039
Burns, R. G.; Solitar, Donald
1
1983
On binary \(\sigma\)-invariant words in a group. Zbl 0843.20028
Macedonska, O.; Solitar, Donald M.
1
1994
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
123
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.
25
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.
17
1984
Automorphisms of a free product with an amalgamated subgroup. Zbl 0552.20023
Karrass, Abe; Pietrowski, Alfred; Solitar, Donald
9
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
216
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
17
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.
78
1973
Subgroups of NEC groups. Zbl 0266.20038
Hoare, A. H. M.; Karrass, A.; Solitar, D.
11
1973
On finitely generated subgroups which are of finite index in generalized free products. Zbl 0223.20032
Karrass, A.; Solitar, D.
3
1973
Subgroups of infinite index in Fuchsian groups. Zbl 0223.20054
Hoare, A. H. M.; Karrass, A.; Solitar, D.
28
1972
On one-relator groups having elements of finite order. Zbl 0242.20035
Fischer, J.; Karrass, A.; Solitar, D.
14
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.
50
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.
91
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.
5
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
424
1966
Some two-generator one-relator non-Hopfian groups. Zbl 0108.02702
Baumslag, G.; Solitar, D.
165
1962
Elements of finite order in groups with a single defining relation. Zbl 0091.02403
Karras, A.; Magnus, W.; Solitar, D.
44
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.
12
1957
Some remarks on the infinite symmetric groups. Zbl 0071.02401
Karrass, A.; Solitar, D.
10
1956
all top 5

Cited by 1,192 Authors

24 Baumslag, Gilbert
18 Rosenberger, Gerhard
16 Zalesskii, Pavel
15 Solitar, Donald M.
14 Myasnikov, Alexei G.
14 Pride, Stephen James
13 Fine, Benjamin L.
13 Karrass, Abraham
12 Dudkin, Fëdor Anatol’evich
12 Gonçalves, Daciberg Lima
9 Bardakov, Valeriĭ Georgievich
9 Guaschi, John
9 Sokolov, E. V.
9 Wise, Daniel T.
8 Anshel, Michael
8 Burns, Robert G.
8 Kapovich, Ilya
8 Mikhaĭlov, Roman Valer’evich
8 Tang, Chi Yu
8 Tumanova, E. A.
8 Wong, Peng Choon
7 Azarov, Dmitriĭ Nikolaevich
7 Dyer, Joan L.
7 Herfort, Wolfgang N.
7 Ivanov, Sergei Vladimirovich
7 Otto, Friedrich
7 Ruškuc, Nik
7 Wu, Jie
7 Zieschang, Heiner
6 Allenby, R. B. J. T.
6 Budkin, Aleksandr Ivanovich
6 Chiswell, Ian M.
6 Humphries, Stephen P.
6 Kim, Goansu
6 Lubotzky, Alexander
6 McCool, James
6 McCullough, Darryl
6 Moldavanskiĭ, D. I.
6 Raptis, E.
6 Remeslennikov, Vladimir Nikanorovich
6 Schupp, Paul E.
6 Wong, Kok Bin
5 Baumslag, Benjamin
5 Bezverkhniĭ, Vladimir Nikolaevich
5 Bogopolski, Oleg
5 Collins, Donald J.
5 Costa Gonzáles, Antonio Félix
5 de la Harpe, Pierre
5 Friedl, Stefan
5 Gersten, Stephen M.
5 Grigorchuk, Rostislav Ivanovich
5 Howie, James
5 Kharlampovich, Olga G.
5 Leininger, Christopher J.
5 Levin, Frank S.
5 Lewin, Jacques
5 Osin, Denis V.
5 Parry, Gareth P.
5 Ribes, Luis
5 Roman’kov, Vitaly Anatol’evich
5 Silva, Pedro V.
5 Stebe, Peter F.
5 Suciu, Alexander I.
5 Vershinin, Vladimir V.
5 Wen, Zhixiong
5 Zhang, Yiping
4 Berrick, A. Jon
4 Bou-Rabee, Khalid
4 Brunner, Andrew Michael
4 de Cornulier, Yves
4 Dicks, Warren
4 Drensky, Vesselin
4 Gitik, Rita
4 Gray, Robert D.
4 Gupta, Narain Datt
4 Hoare, A. Howard M.
4 Linnell, Peter Arnold
4 Lyndon, Roger C.
4 Meskin, Stephen
4 Metaftsis, Vasileios
4 Miller, Charles Frederick III
4 Moran, Siegfried
4 Morita, Shigeyuki
4 Newman, Michael Frederick
4 Pietrowski, Alfred
4 Purzitsky, Norman
4 Sapir, Mark Valentinovich
4 Satoh, Takao
4 Shalen, Peter B.
4 Silver, Daniel S.
4 Stöhr, Ralph
4 Tan, Bo
4 Thom, Andreas Berthold
4 Zimmermann, Bruno P.
3 Antolín, Yago
3 Atabekyan, Varuzhan S.
3 Ateş, Firat
3 Aubrun, Nathalie
3 Bachmuth, Seymour
3 Barbieri, Sebastián
...and 1,092 more Authors
all top 5

Cited in 223 Serials

98 Transactions of the American Mathematical Society
84 Journal of Algebra
81 Proceedings of the American Mathematical Society
56 Mathematische Zeitschrift
45 Archiv der Mathematik
42 Journal of Pure and Applied Algebra
34 Communications in Algebra
33 Mathematische Annalen
32 Siberian Mathematical Journal
24 Geometriae Dedicata
24 Bulletin of the American Mathematical Society
23 Inventiones Mathematicae
23 International Journal of Algebra and Computation
22 Algebraic & Geometric Topology
21 Algebra and Logic
21 Topology and its Applications
21 Journal of Knot Theory and its Ramifications
21 Journal of Group Theory
20 Groups, Geometry, and Dynamics
18 Mathematical Notes
15 Geometry & Topology
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Semigroup Forum
13 Chebyshevskiĭ Sbornik
12 Bulletin of the Australian Mathematical Society
12 Journal of the Australian Mathematical Society
11 Israel Journal of Mathematics
10 Advances in Mathematics
10 Glasgow Mathematical Journal
9 Annales de l’Institut Fourier
8 Theoretical Computer Science
8 Journal of the American Mathematical Society
7 Duke Mathematical Journal
7 Journal of Soviet Mathematics
7 Algebra Colloquium
7 Journal of Mathematical Sciences (New York)
7 Proceedings of the Steklov Institute of Mathematics
6 Rocky Mountain Journal of Mathematics
6 Journal of Computer and System Sciences
5 Communications in Mathematical Physics
5 Monatshefte für Mathematik
5 Journal of Elasticity
5 Expositiones Mathematicae
5 Journal of the European Mathematical Society (JEMS)
5 Lobachevskii Journal of Mathematics
5 Journal of Topology and Analysis
5 Groups, Complexity, Cryptology
4 Physics Letters. A
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Acta Mathematica
4 Michigan Mathematical Journal
4 Osaka Journal of Mathematics
4 Rendiconti del Seminario Matematico della Università di Padova
4 Experimental Mathematics
4 St. Petersburg Mathematical Journal
4 Conformal Geometry and Dynamics
4 Sibirskie Èlektronnye Matematicheskie Izvestiya
3 Discrete Mathematics
3 Mathematics of Computation
3 Illinois Journal of Mathematics
3 Journal of Functional Analysis
3 Manuscripta Mathematica
3 Proceedings of the Japan Academy. Series A
3 Results in Mathematics
3 Ergodic Theory and Dynamical Systems
3 Revista Matemática Iberoamericana
3 Bulletin of the American Mathematical Society. New Series
3 RAIRO. Informatique Théorique et Applications
3 Cybernetics and Systems Analysis
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Russian Mathematics
3 Selecta Mathematica. New Series
3 Electronic Research Announcements of the American Mathematical Society
3 Journal of Algebra and its Applications
3 Winter Braids Lecture Notes
2 Acta Informatica
2 Discrete Applied Mathematics
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Physics
2 Ukrainian Mathematical Journal
2 Cahiers de Topologie et Géométrie Différentielle Catégoriques
2 Demonstratio Mathematica
2 Memoirs of the American Mathematical Society
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Advances in Applied Mathematics
2 Information and Computation
2 Forum Mathematicum
2 International Journal of Mathematics
2 Random Structures & Algorithms
2 Geometric and Functional Analysis. GAFA
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Applicable Algebra in Engineering, Communication and Computing
2 Topological Methods in Nonlinear Analysis
2 Topology Proceedings
2 Turkish Journal of Mathematics
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Sbornik: Mathematics
2 Izvestiya: Mathematics
2 Transformation Groups
2 RAIRO. Theoretical Informatics and Applications
...and 123 more Serials
all top 5

Cited in 50 Fields

906 Group theory and generalizations (20-XX)
295 Manifolds and cell complexes (57-XX)
69 Algebraic topology (55-XX)
66 Combinatorics (05-XX)
61 Computer science (68-XX)
48 Algebraic geometry (14-XX)
48 Dynamical systems and ergodic theory (37-XX)
47 Topological groups, Lie groups (22-XX)
42 Number theory (11-XX)
42 Associative rings and algebras (16-XX)
36 Functions of a complex variable (30-XX)
35 Mathematical logic and foundations (03-XX)
34 Nonassociative rings and algebras (17-XX)
21 Several complex variables and analytic spaces (32-XX)
19 Functional analysis (46-XX)
17 Category theory; homological algebra (18-XX)
16 Differential geometry (53-XX)
15 General algebraic systems (08-XX)
14 Geometry (51-XX)
13 Measure and integration (28-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Abstract harmonic analysis (43-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
10 Commutative algebra (13-XX)
10 Convex and discrete geometry (52-XX)
9 History and biography (01-XX)
9 \(K\)-theory (19-XX)
9 Probability theory and stochastic processes (60-XX)
9 Quantum theory (81-XX)
9 Information and communication theory, circuits (94-XX)
8 Field theory and polynomials (12-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Operator theory (47-XX)
6 General topology (54-XX)
6 Mechanics of deformable solids (74-XX)
5 Ordinary differential equations (34-XX)
4 General and overarching topics; collections (00-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Partial differential equations (35-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Special functions (33-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Numerical analysis (65-XX)
2 Systems theory; control (93-XX)
1 Difference and functional equations (39-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-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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