Bases for rings of coinvariants
type: Item
instance of: scholarly article
title: Bases for rings of coinvariants
zbMATH Open document ID: 0877.20006
DOI: 10.1007/BF02549211
author: H. E. A. Campbell
author: I. P. Hughes
author: R. J. Shank
author: David Wehlau
published in: Transformation Groups
publication date: 1997-11-03T00:00:00Z
review text: The authors study the multiplicative structure of rings of coinvariants for finite groups. They develop methods that give rise to natural monomial bases for such rings over their ground fields and explicitly determine precisely which monomials are zero in the rings of coinvariants. They apply their methods to the Dickson, upper triangular and symmetric coinvariants. They use these monomial bases to prove that the image of the transfer for a general linear group over a finite field is a principal ideal in the ring of invariants.
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 13A50
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 994116
zbMATH Keywords: rings of coinvariants of finite groups
zbMATH Keywords: monomial bases
zbMATH Keywords: symmetric coinvariants
zbMATH Keywords: transfer
zbMATH Keywords: general linear groups
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02549211
OpenAlex ID: W2022726789
description: scientific article; zbMATH DE number 994116