Associated primes for cohomology modules

被引:0
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作者
Jonathan Elmer
机构
[1] University of Aberdeen,Department of Mathematics, Meston Hall
来源
Archiv der Mathematik | 2008年 / 91卷
关键词
Modular invariant theory; cohomology; relative transfer ideals; 13A50;
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摘要
Let G be a finite group acting linearly on a finite dimensional vector space V defined over a field k of characteristic p, where p is assumed to divide the group order. Let R := S(V *) be the symmetric algebra of the dual on which G acts naturally by algebra automorphisms. We study the RG-modules Hi(G, R) for i > 0. In particular we give a formula which describes the annihilator of a general element of Hi(G, R) in terms of the relative transfer ideals of RG, and consequently prove that the associated primes of these cohomology modules are equal to the radicals of certain relative transfer ideals.
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页码:481 / 485
页数:4
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