On the depth of separating invariants for finite groups

Article

Elmer, J. 2012. On the depth of separating invariants for finite groups. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 53 (1), pp. 31-39. https://doi.org/10.1007/s13366-011-0030-1
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
JournalBeiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
ISSN0138-4821
Electronic2191-0383
Publication dates
Online11 May 2011
PrintMar 2012
Publication process dates
Submitted10 May 2011
Deposited15 Apr 2016
Output statusPublished
Accepted author manuscript
Web address (URL)https://link.springer.com/article/10.1007/s13366-011-0030-1
Digital Object Identifier (DOI)https://doi.org/10.1007/s13366-011-0030-1
LanguageEnglish
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