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This article is cited in 8 scientific papers (total in 8 papers)
Central elements of integral group rings
R. Zh. Aleev
Abstract:
We study the centers of integral group rings. We introduce the concept of a class character ring and use it to describe the centers of integral groups rings. With each automorphism of a character field we associate the automorphism of the center of an integral group ring. We determine the norm of the central element of an integral group ring, which we use to obtain criteria for the invertibility of central elements.
Received: 17.11.1998
Citation:
R. Zh. Aleev, “Central elements of integral group rings”, Algebra Logika, 39:5 (2000), 513–525; Algebra and Logic, 39:4 (2000), 293–300
Linking options:
https://www.mathnet.ru/eng/al289 https://www.mathnet.ru/eng/al/v39/i5/p513
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Abstract page: | 359 | Full-text PDF : | 174 | References: | 3 | First page: | 1 |
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