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Solitar, Donald M.

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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.
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Documents Indexed: 38 Publications since 1956, including 4 Books

Publications by Year

Citations contained in zbMATH

35 Publications have been cited 1,667 times in 1,421 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
591
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
288
1976
Some two-generator one-relator non-Hopfian groups. Zbl 0108.02702
Baumslag, G.; Solitar, D.
155
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
105
2004
The subgroups of a free product of two groups with an amalgamated subgroup. Zbl 0223.20031
Karrass, A.; Solitar, D.
87
1970
Finite and infinite cyclic extensions of free groups. Zbl 0299.20024
Karrass, A.; Pietrowski, A.; Solitar, D.
74
1973
Subgroups of HNN groups and groups with one defining relation. Zbl 0232.20051
Karrass, A.; Solitar, D.
48
1971
Elements of finite order in groups with a single defining relation. Zbl 0091.02403
Karras, A.; Magnus, W.; Solitar, D.
42
1960
On finitely generated subgroups of a free group. Zbl 0197.29802
Karrass, A.; Solitar, D.
30
1969
Subgroups of infinite index in Fuchsian groups. Zbl 0223.20054
Hoare, A. H. M.; Karrass, A.; Solitar, D.
27
1972
A note on groups with separable finitely generated subgroups. Zbl 0613.20018
Burns, R. G.; Karrass, A.; Solitar, D.
25
1987
The free product of two groups with a malnormal amalgamated subgroup. Zbl 0247.20028
Karrass, A.; Solitar, D.
25
1971
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
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
Subgroups of finite index of Fuchsian groups. Zbl 0223.20053
Hoare, A. Howard M.; Karrass, Abraham; Solitar, Donald
17
1971
Note on a theorem of Schreier. Zbl 0078.01401
Karrass, A.; Solitar, D.
12
1957
Automorphisms of a free product with an amalgamated subgroup. Zbl 0552.20023
Karrass, Abe; Pietrowski, Alfred; Solitar, Donald
11
1984
Subgroups of NEC groups. Zbl 0266.20038
Hoare, A. H. M.; Karrass, A.; Solitar, D.
11
1973
On one-relator groups having elements of finite order. Zbl 0242.20035
Fischer, J.; Karrass, A.; Solitar, D.
11
1972
On free products. Zbl 0089.01303
Karrass, A.; Solitar, D.
10
1958
Some remarks on the infinite symmetric groups. Zbl 0071.02401
Karrass, A.; Solitar, D.
10
1956
An improved subgroup theorem for HNN groups with some applications. Zbl 0288.20038
Karrass, A.; Pietrowski, A.; Solitar, D.
9
1974
On a theorem of Cohen and Lyndon about free bases for normal subgroups. Zbl 0274.20039
Karrass, A.; Solitar, D.
5
1972
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 finitely generated subgroups of a free product. Zbl 0182.03601
Karrass, A.; Solitar, D.
5
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
Tarski’s problem for solvable groups. Zbl 0614.03031
Rogers, Pat; Smith, Howard; Solitar, Donald
4
1986
Some remarks on braid groups. Zbl 0553.20020
Karrass, Abe; Pietrowski, Alfred; Solitar, Donald
4
1984
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.
3
1973
Subgroup theorems in the theory of groups given by defining relations. Zbl 0084.25203
Karrass, A.; Solitar, D.
3
1958
One-relator groups having a finitely presented normal subgroup. Zbl 0414.20029
Karrass, A.; Solitar, D.
2
1978
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
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
105
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
11
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.
2
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
288
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.
74
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.
27
1972
On one-relator groups having elements of finite order. Zbl 0242.20035
Fischer, J.; Karrass, A.; Solitar, D.
11
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.
48
1971
The free product of two groups with a malnormal amalgamated subgroup. Zbl 0247.20028
Karrass, A.; Solitar, D.
25
1971
Subgroups of finite index of Fuchsian groups. Zbl 0223.20053
Hoare, A. Howard M.; Karrass, Abraham; Solitar, Donald
17
1971
The subgroups of a free product of two groups with an amalgamated subgroup. Zbl 0223.20031
Karrass, A.; Solitar, D.
87
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.
30
1969
On finitely generated subgroups of a free product. Zbl 0182.03601
Karrass, A.; Solitar, D.
5
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 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
591
1966
Some two-generator one-relator non-Hopfian groups. Zbl 0108.02702
Baumslag, G.; Solitar, D.
155
1962
Elements of finite order in groups with a single defining relation. Zbl 0091.02403
Karras, A.; Magnus, W.; Solitar, D.
42
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 1,341 Authors

26 Baumslag, Gilbert
17 Rosenberger, Gerhard
17 Zalesskii, Pavel
16 Myasnikov, Alexei G.
15 Solitar, Donald M.
15 Tang, Chi Yu
14 Otto, Friedrich
14 Pride, Stephen J.
13 Fine, Benjamin L.
13 Karrass, Abraham
13 Kim, Goansu
12 Bardakov, Valeriĭ Georgievich
11 Allenby, R. B. J. T.
11 Dudkin, Fëdor Anatol’evich
11 Gonçalves, Daciberg Lima
11 Wise, Daniel T.
10 Ruškuc, Nik
9 Anshel, Michael
9 Guaschi, John
9 Gupta, Narain Datt
9 Kapovich, Ilya
9 Schupp, Paul E.
9 Wong, Peng Choon
8 Burns, Robert G.
8 Humphries, Stephen P.
8 Ivanov, Sergei Vladimirovich
8 Madlener, Klaus E.
8 McCool, James
8 Mikhaĭlov, Roman Valer’evich
8 Moldavanskiĭ, D. I.
8 Sokolov, E. V.
8 Stöhr, Ralph
8 Tumanova, E. A.
7 Azarov, Dmitriĭ Nikolaevich
7 Dyer, Joan L.
7 Lewin, Jacques
7 Lubotzky, Alexander
7 Satoh, Takao
7 Wu, Jie
7 Zieschang, Heiner
6 Chiswell, Ian M.
6 Herfort, Wolfgang N.
6 Kharlampovich, Olga G.
6 Levin, Frank S.
6 Martino, Armando
6 McCullough, Darryl
6 Raptis, E.
6 Remeslennikov, Vladimir Nikanorovich
6 Ribes, Luis
6 Roman’kov, Vitaly Anatol’evich
6 Suciu, Alexander I.
6 Wong, Kok Bin
5 Baumslag, Benjamin
5 Budkin, Aleksandr Ivanovich
5 Collins, Donald J.
5 Costa Gonzáles, Antonio Félix
5 de la Harpe, Pierre
5 Droms, Carl
5 Evans, Martin J.
5 Gersten, Stephen M.
5 Gongopadhyay, Krishnendu
5 Gray, Robert D.
5 Howie, James
5 Leininger, Christopher J.
5 Metaftsis, Vasileios
5 Miller, Charles Frederick III
5 Parry, Gareth P.
5 Pietrowski, Alfred
5 Silva, Pedro V.
5 Spellman, Dennis
5 Stebe, Peter F.
5 Thomas, Richard M.
5 Ventura Capell, Enric
5 Vershinin, Vladimir V.
5 Wen, Zhixiong
5 Zhang, Yiping
4 Bachmuth, Seymour
4 Bellingeri, Paolo
4 Berrick, A. Jon
4 Bezverkhniĭ, Vladimir Nikolaevich
4 Brunner, Andrew Michael
4 Button, Jack Oliver
4 de Cornulier, Yves
4 Dicks, Warren
4 Đoković, Dragomir Ž.
4 Formanek, Edward W.
4 Freden, Eric M.
4 Gaglione, Anthony M.
4 Garzon, Max H.
4 Gilman, Jane P.
4 Gitik, Rita
4 Grigorchuk, Rostislav Ivanovich
4 Hirshon, Ron
4 Hoare, A. Howard M.
4 Linnell, Peter Arnold
4 Lyndon, Roger C.
4 Meskin, Stephen
4 Mochizuki, Horace Y.
4 Moran, Siegfried
4 Morita, Shigeyuki
...and 1,241 more Authors
all top 5

Cited in 215 Serials

173 Journal of Algebra
97 Transactions of the American Mathematical Society
77 Proceedings of the American Mathematical Society
75 Journal of Pure and Applied Algebra
56 Mathematische Zeitschrift
49 Topology and its Applications
45 Archiv der Mathematik
34 Communications in Algebra
33 Mathematische Annalen
29 Siberian Mathematical Journal
24 International Journal of Algebra and Computation
24 Bulletin of the American Mathematical Society
22 Inventiones Mathematicae
22 Algebraic & Geometric Topology
21 Algebra and Logic
21 Geometriae Dedicata
20 Theoretical Computer Science
20 Journal of Group Theory
18 Groups, Geometry, and Dynamics
17 Mathematical Notes
16 Journal of Knot Theory and its Ramifications
15 Advances in Mathematics
15 Geometry & Topology
13 Discrete Mathematics
13 Chebyshevskiĭ Sbornik
12 Semigroup Forum
12 Journal of the Australian Mathematical Society
11 Bulletin of the Australian Mathematical Society
11 Mathematical Proceedings of the Cambridge Philosophical Society
9 Israel Journal of Mathematics
9 Annales de l’Institut Fourier
9 Glasgow Mathematical Journal
9 Journal of Computer and System Sciences
8 Journal of the American Mathematical Society
7 Duke Mathematical Journal
7 Journal of Soviet Mathematics
7 European Journal of Combinatorics
7 Annals of Pure and Applied Logic
7 Algebra Colloquium
7 Proceedings of the Steklov Institute of Mathematics
6 Physics Letters. A
6 Rocky Mountain Journal of Mathematics
6 Expositiones Mathematicae
6 Journal of Mathematical Sciences (New York)
6 Groups, Complexity, Cryptology
5 Journal of Elasticity
5 Journal of the European Mathematical Society (JEMS)
5 Lobachevskii Journal of Mathematics
4 Discrete Applied Mathematics
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Acta Mathematica
4 Journal of Functional Analysis
4 Journal of Number Theory
4 Michigan Mathematical Journal
4 Osaka Journal of Mathematics
4 Rendiconti del Seminario Matematico della Università di Padova
4 Linear Algebra and its Applications
4 Experimental Mathematics
4 Conformal Geometry and Dynamics
3 Communications in Mathematical Physics
3 Physica A
3 Mathematics of Computation
3 Illinois Journal of Mathematics
3 Journal of Combinatorial Theory. Series B
3 Manuscripta Mathematica
3 Monatshefte für Mathematik
3 Proceedings of the Japan Academy. Series A
3 Results in Mathematics
3 Advances in Applied Mathematics
3 Ergodic Theory and Dynamical Systems
3 Journal of Symbolic Computation
3 Information and Computation
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 Electronic Research Announcements of the American Mathematical Society
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Algebra and its Applications
3 Journal of Topology and Analysis
3 Winter Braids Lecture Notes
2 Acta Informatica
2 Information Processing Letters
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Ukrainian Mathematical Journal
2 Chaos, Solitons and Fractals
2 Annali di Matematica Pura ed Applicata. Serie Quarta
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 Revista Matemática Iberoamericana
2 Forum Mathematicum
2 Random Structures & Algorithms
2 Geometric and Functional Analysis. GAFA
2 Applicable Algebra in Engineering, Communication and Computing
2 Topology Proceedings
...and 115 more Serials
all top 5

Cited in 52 Fields

1,016 Group theory and generalizations (20-XX)
323 Manifolds and cell complexes (57-XX)
82 Combinatorics (05-XX)
80 Computer science (68-XX)
76 Algebraic topology (55-XX)
59 Mathematical logic and foundations (03-XX)
59 Associative rings and algebras (16-XX)
50 Algebraic geometry (14-XX)
47 Topological groups, Lie groups (22-XX)
47 Dynamical systems and ergodic theory (37-XX)
44 Number theory (11-XX)
42 Nonassociative rings and algebras (17-XX)
33 Functions of a complex variable (30-XX)
24 Several complex variables and analytic spaces (32-XX)
19 General algebraic systems (08-XX)
16 Functional analysis (46-XX)
16 Differential geometry (53-XX)
15 Category theory; homological algebra (18-XX)
15 Geometry (51-XX)
13 Measure and integration (28-XX)
13 Abstract harmonic analysis (43-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
11 Commutative algebra (13-XX)
11 Convex and discrete geometry (52-XX)
11 Information and communication theory, circuits (94-XX)
10 General topology (54-XX)
10 Global analysis, analysis on manifolds (58-XX)
10 Quantum theory (81-XX)
9 Probability theory and stochastic processes (60-XX)
8 \(K\)-theory (19-XX)
8 Operator theory (47-XX)
7 History and biography (01-XX)
7 Mechanics of deformable solids (74-XX)
6 Field theory and polynomials (12-XX)
5 Ordinary differential equations (34-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Partial differential equations (35-XX)
4 Numerical analysis (65-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Mechanics of particles and systems (70-XX)
2 General and overarching topics; collections (00-XX)
2 Special functions (33-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Systems theory; control (93-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Statistics (62-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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