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On the Depth of Modular Invariant Rings for the Groups Cp x Cp

Elmer, Jonathan and Fleischmann, Peter (2010) On the Depth of Modular Invariant Rings for the Groups Cp x Cp. In: Campbell, Eddy and Helminck, Aloysius G. and Hanspeter, Kraft and Wehlau, David L., eds. Symmetry and Spaces: In Honor of Gerry Schwarz. Progress in Mathematics, 278 . Birkhäuser, Boston, pp. 45-61. ISBN 978-0-8176-4874-9. (doi:10.1007/978-0-8176-4875-6) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31524)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1007/978-0-8176-4875-6

Abstract

Let G be a finite group, k a field of characteristic p and V a finite dimen-

with G acting by graded algebra automorphisms. Then it is known that the depth of

for which the depth of RG attains this lower bound was called flat by Fleischmann,

and applied to certain representations of Cp ×Cp, generating many new examples

fying them for the group C2 ×C2, as well as determining the depth of RG for any

indecomposable modular representation of C2×C2.

Item Type: Book section
DOI/Identification number: 10.1007/978-0-8176-4875-6
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Q Science > QA Mathematics (inc Computing science) > QA171 Representation theory
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: P. Fleischmann
Date Deposited: 11 Oct 2012 11:25 UTC
Last Modified: 29 May 2019 09:33 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/31524 (The current URI for this page, for reference purposes)
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