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
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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