Open Access
2009 Equivariant Hilbert series
Frank Himstedt, Peter Symonds
Algebra Number Theory 3(4): 423-443 (2009). DOI: 10.2140/ant.2009.3.423

Abstract

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.

Citation

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Frank Himstedt. Peter Symonds. "Equivariant Hilbert series." Algebra Number Theory 3 (4) 423 - 443, 2009. https://doi.org/10.2140/ant.2009.3.423

Information

Received: 29 May 2008; Revised: 4 March 2009; Accepted: 18 March 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1185.13018
MathSciNet: MR2525558
Digital Object Identifier: 10.2140/ant.2009.3.423

Subjects:
Primary: 13D40
Secondary: 20C20

Keywords: degree , equivariant , group action , Hilbert series , Ring

Rights: Copyright © 2009 Mathematical Sciences Publishers

Vol.3 • No. 4 • 2009
MSP
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