Equivariant Hilbert series

被引：4

作者：

Himstedt, Frank ^{[1
]}

Symonds, Peter ^{[2
]}

机构：

[1] Tech Univ Munich, Zentrum Math M11, D-85748 Garching, Germany

[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

来源：

ALGEBRA & NUMBER THEORY | 2009年 / 3卷 / 04期

关键词：

Hilbert series; group action; ring; degree; equivariant; MODULE STRUCTURE; P-GROUPS; COHOMOLOGY; AUTOMORPHISMS; RINGS;

D O I：

10.2140/ant.2009.3.423

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a finite group acting on a graded module and define an equivariant degree that generalizes the usual nonequivariant degree. The value of this degree is a module for the group, up to a rational multiple. We investigate how this behaves when the module is a ring and apply our results to reprove some results of Kuhn on the cohomology of groups.

引用

页码：423 / 443

页数：21

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