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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.
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
Linking options:
https://www.mathnet.ru/eng/mzm8777https://doi.org/10.4213/mzm8777 https://www.mathnet.ru/eng/mzm/v89/i5/p643
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Abstract page: | 517 | Full-text PDF : | 174 | References: | 47 | First page: | 25 |
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