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## Karpilovsky, Gregory

Compute Distance To:
 Author ID: karpilovsky.gregory Published as: Karpilovsky, G.; Karpilovsky, Gregory
 Documents Indexed: 57 Publications since 1975, including 20 Books Reviewing Activity: 93 Reviews

#### Co-Authors

 22 single-authored

#### Serials

 11 North-Holland Mathematics Studies 3 Pure and Applied Mathematics, Marcel Dekker 1 Communications in Algebra
all top 5

#### Fields

 18 Group theory and generalizations (20-XX) 14 Associative rings and algebras (16-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 $$K$$-theory (19-XX)

#### Citations contained in zbMATH

36 Publications have been cited 644 times in 527 Documents Cited by Year
The Schur multiplier. Zbl 0619.20001
Karpilovsky, Gregory
1987
Projective representations of finite groups. Zbl 0568.20016
Karpilovsky, Gregory
1985
Commutative group algebras. Zbl 0508.16010
Karpilovsky, Gregory
1983
Unit groups of group rings. Zbl 0687.16010
Karpilovsky, Gregory
1989
On blocks of twisted group algebras. Zbl 0571.20004
Karpilovsky, G.
1985
Group representations. Volume 2. Zbl 0778.20001
Karpilovsky, Gregory
1993
Group representations. Volume 1. Part A: Background material. Part B: Introduction to group representations and characters. Zbl 0757.20001
Karpilovsky, Gregory
1992
Topics in field theory. Zbl 0662.12023
Karpilovsky, Gregory
1989
The Jacobson radical of classical rings. Zbl 0729.16001
Karpilovsky, G.
1991
The Jacobson radical of group algebras. Zbl 0618.16001
Karpilovsky, Gregory
1987
Unit groups of classical rings. Zbl 0658.12002
Karpilovsky, Gregory
1988
On finite generation of unit groups of commutative group rings. Zbl 0498.16004
Karpilovsky, G.
1983
The algebraic structure of crossed products. Zbl 0614.16001
Karpilovsky, Gregory
1987
Berman’s contributions to group representations over fields. Zbl 0676.20004
Karpilovsky, G.
1989
The Jacobson radical of commutative group rings. Zbl 0487.16012
Karpilovsky, G.
1982
Group representations. Volume 3. Zbl 0804.20001
Karpilovsky, Gregory
1994
Field theory: classical foundations and multiplicative groups. Zbl 0677.12010
Karpilovsky, Gregory
1988
Induced modules over group algebras. Zbl 0692.20001
Karpilovsky, Gregory
1990
Clifford-theory for group representations. Zbl 0668.20008
Karpilovsky, Gregory
1989
Structure of blocks of group algebras. Zbl 0657.20009
Karpilovsky, Gregory
1987
Group representations. Vol. 4. Zbl 0824.20001
Karpilovsky, Gregory
1995
Units of commutative group algebras. Zbl 0703.16017
Karpilovsky, G.
1990
The center of crossed products over simple rings. Zbl 0691.16012
Karpilovsky, G.
1989
On the isomorphism problem for integral group rings. Zbl 0409.20002
Karpilovsky, G.
1979
On units in commutative group rings. Zbl 0465.16005
Karpilovsky, G.
1982
On certain group ring problems. Zbl 0419.16005
Karpilovsky, G.
1980
On linearizable irreducible projective representations of finite groups. Zbl 0316.20007
Karpilovsky, G.
1976
Group representations. Vol. 5. Zbl 0867.20001
Karpilovsky, Gregory
1996
Karpilovsky, G.
1992
Symmetric and G-algebras. With applications to group representations. Zbl 0705.16001
Karpilovsky, Gregory
1990
On extension of characters from normal subgroups. Zbl 0513.20004
Karpilovsky, G.
1984
On commutative group algebras. Zbl 0482.20006
Karpilovsky, G.
1982
On representations of finite groups over skewfields. Zbl 0379.20009
Karpilovsky, G.
1978
Blocks and indecomposable modules over twisted group algebras. Zbl 0563.20012
Karpilovsky, G.
1985
On induced representations of groups over division rings. Zbl 0504.20004
Karpilovsky, G.
1983
The number of representations of a group induced from the irreducible representations of a normal subgroup. Zbl 0383.20004
Karpilovsky, G.
1978
Group representations. Vol. 5. Zbl 0867.20001
Karpilovsky, Gregory
1996
Group representations. Vol. 4. Zbl 0824.20001
Karpilovsky, Gregory
1995
Group representations. Volume 3. Zbl 0804.20001
Karpilovsky, Gregory
1994
Group representations. Volume 2. Zbl 0778.20001
Karpilovsky, Gregory
1993
Group representations. Volume 1. Part A: Background material. Part B: Introduction to group representations and characters. Zbl 0757.20001
Karpilovsky, Gregory
1992
Karpilovsky, G.
1992
The Jacobson radical of classical rings. Zbl 0729.16001
Karpilovsky, G.
1991
Induced modules over group algebras. Zbl 0692.20001
Karpilovsky, Gregory
1990
Units of commutative group algebras. Zbl 0703.16017
Karpilovsky, G.
1990
Symmetric and G-algebras. With applications to group representations. Zbl 0705.16001
Karpilovsky, Gregory
1990
Unit groups of group rings. Zbl 0687.16010
Karpilovsky, Gregory
1989
Topics in field theory. Zbl 0662.12023
Karpilovsky, Gregory
1989
Berman’s contributions to group representations over fields. Zbl 0676.20004
Karpilovsky, G.
1989
Clifford-theory for group representations. Zbl 0668.20008
Karpilovsky, Gregory
1989
The center of crossed products over simple rings. Zbl 0691.16012
Karpilovsky, G.
1989
Unit groups of classical rings. Zbl 0658.12002
Karpilovsky, Gregory
1988
Field theory: classical foundations and multiplicative groups. Zbl 0677.12010
Karpilovsky, Gregory
1988
The Schur multiplier. Zbl 0619.20001
Karpilovsky, Gregory
1987
The Jacobson radical of group algebras. Zbl 0618.16001
Karpilovsky, Gregory
1987
The algebraic structure of crossed products. Zbl 0614.16001
Karpilovsky, Gregory
1987
Structure of blocks of group algebras. Zbl 0657.20009
Karpilovsky, Gregory
1987
Projective representations of finite groups. Zbl 0568.20016
Karpilovsky, Gregory
1985
On blocks of twisted group algebras. Zbl 0571.20004
Karpilovsky, G.
1985
Blocks and indecomposable modules over twisted group algebras. Zbl 0563.20012
Karpilovsky, G.
1985
On extension of characters from normal subgroups. Zbl 0513.20004
Karpilovsky, G.
1984
Commutative group algebras. Zbl 0508.16010
Karpilovsky, Gregory
1983
On finite generation of unit groups of commutative group rings. Zbl 0498.16004
Karpilovsky, G.
1983
On induced representations of groups over division rings. Zbl 0504.20004
Karpilovsky, G.
1983
The Jacobson radical of commutative group rings. Zbl 0487.16012
Karpilovsky, G.
1982
On units in commutative group rings. Zbl 0465.16005
Karpilovsky, G.
1982
On commutative group algebras. Zbl 0482.20006
Karpilovsky, G.
1982
On certain group ring problems. Zbl 0419.16005
Karpilovsky, G.
1980
On the isomorphism problem for integral group rings. Zbl 0409.20002
Karpilovsky, G.
1979
On representations of finite groups over skewfields. Zbl 0379.20009
Karpilovsky, G.
1978
The number of representations of a group induced from the irreducible representations of a normal subgroup. Zbl 0383.20004
Karpilovsky, G.
1978
On linearizable irreducible projective representations of finite groups. Zbl 0316.20007
Karpilovsky, G.
1976
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#### Cited by 590 Authors

 21 Danchev, Peter Vassilev 17 Niroomand, Peyman 13 Kelarev, Andrei Vladimirovich 9 Higgs, Russel J. 8 Higgs, Russell John 8 Okniński, Jan 7 Ginosar, Yuval 7 Jespers, Eric 6 Galindo Martínez, César Neyit 5 Berkovich, Yakov G. 5 Kaufmann, Ralph M. 5 Kayvanfar, Saeed 5 Lou, Bengong 5 Parvizi, Mohsen 4 Barannyk, Leonid F. 4 Flannery, Dane Laurence 4 Hertweck, Martin 4 Huang, Hua-Lin 4 Kawai, Hideyasu 4 Krempa, Jan 4 Ling, Bo 4 Moghaddam, Mohammad Reza Rajabzadeh 4 Nauwelaerts, Erna 4 Ninomiya, Yasushi 4 Salemkar, Ali Reza 4 Schnabel, Ofir 4 van Oystaeyen, Freddy 4 Witherspoon, Sarah J. 3 Aljadeff, Eli 3 Bhandari, Ashwani K. 3 Bichon, Julien 3 Erfanian, Ahmad 3 Ferraz, Raul Antonio 3 Fuchs, Jürgen 3 Humphreys, John F. 3 Johari, Farangis 3 Kang, Ming-Chang 3 Karpilovsky, Gregory 3 Kurdachenko, Leonid Andreevich 3 Lemmermeyer, Franz Josef 3 Lewis, Mark L. 3 Makhijani, Neha 3 Mashayekhy, Behrooz 3 Mohd Ali, N. M. 3 Mollov, Todor Zh. 3 Nachev, Nako A. 3 Onn, Uri 3 Russo, Francesco Giuseppe 3 Sarmin, Nor Haniza 3 Schweigert, Christoph 3 Sehgal, Sudarshan Kumar 3 Sharma, Rajendra Kumar 3 Srivastava, J. B. 3 Tang, Gaohua 3 Ullery, William 3 Wauters, Paul 3 Wei, Dasheng 2 Albu, Toma 2 Allouche, Jean-Paul Simon 2 Arabyani, Homayoon 2 Ashrafi, Ali Reza 2 Bahturin, Yuri 2 Bárcenas, Noé 2 Bartholdi, Laurent 2 Ben David, Nir 2 Benjamin, Elliot 2 Biswas, Sazzad Ali 2 Blaszczok, Anna 2 Bovdi, Adalbert 2 Brough, Julian M. A. 2 Carnovale, Giovanna 2 Cedó, Ferran 2 Chang, Shan 2 Cheng, Chuangxun 2 Chipchakov, Ivan D. 2 Dokuchaev, Mikhailo 2 Dorbidi, Hamid Reza 2 Elgueta, Josep 2 Everest, Graham Robert 2 Dror Farjoun, Emmanuel 2 Finnegan, C. 2 Fité, Francesc 2 Fliouet, El Hassane 2 Geroldinger, Alfred 2 Glaz, Sarah 2 Gomi, Kiyonori 2 Gonçalves Lopes, Jonas 2 Goodaire, Edgar G. 2 Grigorchuk, Rostislav Ivanovich 2 Grover, Pooja 2 Han, Deguang 2 Hatui, Sumana 2 Healy, Donal 2 Hill, Paul D. 2 Hoo, Cheong-Seng 2 Jafari, Seid Hadi 2 Jaszuńska, Joanna 2 Juriaans, Stanley Orlando 2 Karpilovskii, G. I. 2 Khongsap, Ta ...and 490 more Authors
all top 5

#### Cited in 139 Serials

 92 Journal of Algebra 88 Communications in Algebra 18 Journal of Pure and Applied Algebra 18 Journal of Algebra and its Applications 14 Archiv der Mathematik 12 Proceedings of the American Mathematical Society 11 Advances in Mathematics 11 Glasgow Mathematical Journal 9 Israel Journal of Mathematics 9 Nuclear Physics. B 9 Journal of Number Theory 7 Communications in Mathematical Physics 7 Czechoslovak Mathematical Journal 6 Mathematical Proceedings of the Cambridge Philosophical Society 5 Rocky Mountain Journal of Mathematics 5 Mathematics of Computation 5 Transactions of the American Mathematical Society 5 Journal of Group Theory 4 Bulletin of the Australian Mathematical Society 4 Manuscripta Mathematica 4 Quaestiones Mathematicae 4 Rendiconti del Seminario Matematico della Università di Padova 4 International Journal of Algebra and Computation 4 Indagationes Mathematicae. New Series 4 Journal de Théorie des Nombres de Bordeaux 4 Transformation Groups 4 Algebras and Representation Theory 4 Algebraic & Geometric Topology 3 Journal of Geometry and Physics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Semigroup Forum 3 Algebra Colloquium 3 Finite Fields and their Applications 3 Science China. Mathematics 2 Discrete Applied Mathematics 2 Discrete Mathematics 2 Journal of Mathematical Physics 2 Journal of Soviet Mathematics 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Theoretical Computer Science 2 Tokyo Journal of Mathematics 2 Acta Mathematica Hungarica 2 Journal of Symbolic Computation 2 Journal of the American Mathematical Society 2 Science in China. Series A 2 International Journal of Mathematics 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 LMS Journal of Computation and Mathematics 2 Acta Mathematica Sinica. English Series 2 Journal of the Australian Mathematical Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mediterranean Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Algebra & Number Theory 2 Asian-European Journal of Mathematics 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Indian Journal of Pure & Applied Mathematics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Physics Letters. B 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Statistical Planning and Inference 1 The Journal of Symbolic Logic 1 Mathematische Annalen 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Topology and its Applications 1 European Journal of Combinatorics 1 SIAM Journal on Algebraic and Discrete Methods 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 $$K$$-Theory 1 Mathematical and Computer Modelling 1 Designs, Codes and Cryptography 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Boletim da Sociedade Brasileira de Matemática. Nova Série ...and 39 more Serials
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#### Cited in 36 Fields

 332 Group theory and generalizations (20-XX) 204 Associative rings and algebras (16-XX) 46 Number theory (11-XX) 37 Field theory and polynomials (12-XX) 30 Algebraic geometry (14-XX) 29 $$K$$-theory (19-XX) 28 Commutative algebra (13-XX) 26 Nonassociative rings and algebras (17-XX) 26 Category theory; homological algebra (18-XX) 26 Quantum theory (81-XX) 23 Combinatorics (05-XX) 13 Manifolds and cell complexes (57-XX) 11 Information and communication theory, circuits (94-XX) 10 Topological groups, Lie groups (22-XX) 10 Computer science (68-XX) 8 Differential geometry (53-XX) 8 Algebraic topology (55-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Functional analysis (46-XX) 6 Geometry (51-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Biology and other natural sciences (92-XX)