On the depth of separating algebras for finite groups

Jonathan Elmer*

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

Consider a finite group G acting on a vector space V over a field K of characteristic p > 0. A separating algebra is a subalgebra A of the ring of invariants K[V] G with the same point separation properties. In this article we compare the depth of an arbitrary separating algebra with that of the corresponding ring of invariants. We show that, in some special cases, the depth of A is bounded above by the depth of K[V] G.

Original languageEnglish
Pages (from-to)31-39
Number of pages9
JournalBeiträge zur Algebra und Geometrie
Volume53
Issue number1
Early online date11 May 2011
DOIs
Publication statusPublished - Mar 2012

Fingerprint

Finite Group
Algebra
Ring
Separation Property
Invariant
Subalgebra
Vector space
Arbitrary

Keywords

  • Cohomology modules
  • Depth
  • Invariant theory
  • Modular representation theory
  • Separating algebra

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

On the depth of separating algebras for finite groups. / Elmer, Jonathan.

In: Beiträge zur Algebra und Geometrie, Vol. 53, No. 1, 03.2012, p. 31-39.

Research output: Contribution to journalArticle

Elmer, Jonathan. / On the depth of separating algebras for finite groups. In: Beiträge zur Algebra und Geometrie. 2012 ; Vol. 53, No. 1. pp. 31-39.
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