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Mat. Zametki, 2011, Volume 89, Issue 5, Pages 643–651 (Mi mz8777)  
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

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

DOI: https://doi.org/10.4213/mzm8777

Full text: PDF file (470 kB)
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English version:
Mathematical Notes, 2011, 89:5, 605–612

Bibliographic databases:

UDC: 512.81
Received: 20.10.2010

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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\paper Exponents of Identities of Group Rings
\jour Mat. Zametki
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\pages 643--651
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\pages 605--612
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. O. E. Bezushchak, A. A. Beljaev, M. V. Zaicev, “Codimension growth of algebras with adjoint unit”, J. Math. Sci., 206:5 (2015), 462–473  mathnet  crossref  mathscinet
    		• Математические заметки Mathematical Notes
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