Separable deformations of the generalized quaternion group algebras

被引：1

作者：

Ginosar, Yuval ^{[1
]}

机构：

[1] Univ Haifa, Dept Math, IL-31905 Haifa, Israel

来源：

JOURNAL OF GROUP THEORY | 2020年 / 23卷 / 01期

关键词：

MASCHKES-THEOREM; MODULAR VERSION;

D O I：

10.1515/jgth-2019-0042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The group algebras kQ(2n) of the generalized quaternion groups Q(2n) over fields k which contain F2n-2 are deformed to separable k((t))-algebras [kQ(2n)](t). The dimensions of the simple components of <(k((t)))over bar> circle times(k((t))) [kQ(2n)](t) over the algebraic closure <(k((t)))over bar>, and those of CQ(2n) over C are the same, yielding strong solutions of the Donald-Flanigan conjecture for the generalized quaternion groups.

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页码：179 / 191

页数：13

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