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This article is cited in 2 scientific papers (total in 2 papers)
Projective representations of finite groups over number rings
L. F. Barannik, P. M. Gudivok
Abstract:
We solve the problem of finding the number $n(R,G)$ of nondecomposable projective representations of a finite group $G$ over the ring $R$ of all integers of a finite extension $F$ of the field of rational $p$-adic numbers $Q$. Also we clear up the question as to when all indecomposable projective $R$-representations of a group $G$ are realized by left ideals of crossed group rings of the group $G$ and the ring $R$. We note that for ordinary $R$-representations of a group $G$ the problem of the finiteness of the number $n(R,G)$ was investigated by S. D. Berman, I. Reiner, A. Heller, H. Yacobinski and one of the authors of the present article.
Bibliography: 30 titles.
Received: 01.10.1969
Citation:
L. F. Barannik, P. M. Gudivok, “Projective representations of finite groups over number rings”, Mat. Sb. (N.S.), 82(124):3(7) (1970), 423–443; Math. USSR-Sb., 11:3 (1970), 391–410
Linking options:
https://www.mathnet.ru/eng/sm3459https://doi.org/10.1070/SM1970v011n03ABEH001298 https://www.mathnet.ru/eng/sm/v124/i3/p423
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Abstract page: | 332 | Russian version PDF: | 92 | English version PDF: | 4 | References: | 53 |
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