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This article is cited in 4 scientific papers (total in 4 papers)
On the primitivity of group algebras of certain classes of soluble groups of finite rank
A. V. Tushev Dnepropetrovsk State University
Abstract:
In this paper it is proved in detail that the group algebra $kG$ of a finitely generated metabelian group $G$ of finite rank over a field $k$ of characteristic zero is primitive if and only if its $FC$-centre $\Delta(G)$ is trivial.
Received: 07.07.1994
Citation:
A. V. Tushev, “On the primitivity of group algebras of certain classes of soluble groups of finite rank”, Mat. Sb., 186:3 (1995), 143–160; Sb. Math., 186:3 (1995), 447–463
Linking options:
https://www.mathnet.ru/eng/sm26https://doi.org/10.1070/SM1995v186n03ABEH000026 https://www.mathnet.ru/eng/sm/v186/i3/p143
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Abstract page: | 337 | Russian version PDF: | 81 | English version PDF: | 44 | References: | 65 | First page: | 1 |
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