On the depth of separating invariants for finite groups

Article

Elmer, J. 2012. On the depth of separating invariants for finite groups. Beitrage zur Algebra und Geometrie. 53 (1), pp. 31-39.
TypeArticle
TitleOn the depth of separating invariants for finite groups
AuthorsElmer, J.
Abstract

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 .

PublisherSpringer Verlag
JournalBeitrage zur Algebra und Geometrie
ISSN0138-4821
Publication dates
PrintMar 2012
Publication process dates
Deposited15 Apr 2016
Accepted10 May 2011
Output statusPublished
Accepted author manuscript
Web address (URL)http://link.springer.com/article/10.1007%2Fs13366-011-0030-1
LanguageEnglish
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