The Hochschild cohomology ring of a modular group algebra: The commutative case

被引：27
|
作者：
Holm, T
机构：
[1] Otto von Guericke-Universität Magdeburg, Institut für Algebra und Geometrie, D-39016 Magdeburg
来源：
COMMUNICATIONS IN ALGEBRA | 1996年 / 24卷 / 06期
关键词：
D O I：
10.1080/00927879608825682
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let k be a field of characteristic p > 0 and let G be a finite abelian group. We determine the structure of the Hochschild cohomology ring of the group algebra kG. Moreover, we prove that for any finite group G the Krull dimension of HH*(kG) equals the p-rank of G.
引用
收藏
页码：1957 / 1969
页数：13
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