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Matematicheskie Zametki, 2011, Volume 89, Issue 5, Pages 643–651
DOI: https://doi.org/10.4213/mzm8777 (Mi mzm8777) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Exponents of Identities of Group Rings

O. E. Bezushchaka, M. V. Zaitsevb

a National Taras Shevchenko University of Kyiv
b M. V. Lomonosov Moscow State University
Full-text PDF (470 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8777
Abstract: In the paper, quantitative characteristics of identities of group algebras of finite groups are studied. A series of relations connecting the PI-exponents of identities with involution and Lie identities of the group algebra itself and of its Lie subalgebra of skew-symmetric elements are obtained.
Keywords: finite group, group ring, identity of a ring, Lie algebra, group algebra, PI-algebra, graded algebra, irreducible representation.
Received: 20.10.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 5, Pages 605–612
DOI: https://doi.org/10.1134/S0001434611050014
Bibliographic databases:
Document Type: Article
UDC: 512.81
Language: Russian
Citation: O. E. Bezushchak, M. V. Zaitsev, “Exponents of Identities of Group Rings”, Mat. Zametki, 89:5 (2011), 643–651; Math. Notes, 89:5 (2011), 605–612
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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