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This article is cited in 2 scientific papers (total in 2 papers)
On the number of indecomposable integral $p$-adic representations of crossed group rings
P. M. Gudivok
Abstract:
Let $G$ be a finite group, $Z_p$ the ring of $p$-adic integers, $Z_p^*$ the multiplicative group of $Z_p$ and $(G,Z_p,\Lambda)$ the crossed product group ring by the factor set $\{\lambda_{a, b}\}$ ($\lambda_{a, b}\in Z_p^*;$ $a,b\in G$). We find all rings $\Lambda=(G,Z_p,\lambda)$ such that the number of indecomposable $Z_p$-representations of $\Lambda$ is finite. We note that in case $\Lambda$ is the group ring $Z_pG$ the analogous problem was solved by Berman, Heller, Reiner and the author.
Bibliography: 22 titles.
Received: 11.05.1972
Citation:
P. M. Gudivok, “On the number of indecomposable integral $p$-adic representations of crossed group rings”, Mat. Sb. (N.S.), 91(133):1(5) (1973), 27–49; Math. USSR-Sb., 20:1 (1973), 27–51
Linking options:
https://www.mathnet.ru/eng/sm3102https://doi.org/10.1070/SM1973v020n01ABEH001827 https://www.mathnet.ru/eng/sm/v133/i1/p27
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Abstract page: | 293 | Russian version PDF: | 77 | English version PDF: | 10 | References: | 45 |
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