CALCULATING INVARIANT RINGS OF FINITE-GROUPS OVER ARBITRARY FIELDS

Authors
KEMPER G
Citation
G. Kemper, CALCULATING INVARIANT RINGS OF FINITE-GROUPS OVER ARBITRARY FIELDS, Journal of symbolic computation, 21(3), 1996, pp. 351-366
Citations number
34
Categorie Soggetti
Mathematics,"Computer Sciences, Special Topics",Mathematics,"Computer Science Theory & Methods
Journal title
Journal of symbolic computation → ACNP
ISSN journal
07477171
Volume
21
Issue
3
Year of publication
1996
Pages
351 - 366
Database
ISI
SICI code
0747-7171(1996)21:3<351:CIROFO>2.0.ZU;2-9
Abstract
An algorithm is presented which calculates rings of polynomial invaria nts of finite linear groups over an arbitrary field K. Up to now, such algorithms have been available only for the case that the characteris tic of K does not divide the group order. Some applications to the que stion whether a modular invariant ring is Cohen-Macaulay or isomorphic to a polynomial ring are discussed. (C) 1996 Academic Press Limited