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Representations of elementary abelian p-groups and finite subgroups of field

Campbell, H.E.A., Chuai, J., Shank, R. J., Wehlau, D. L. (2018) Representations of elementary abelian p-groups and finite subgroups of field. Journal of Pure and Applied Algebra, 223 (5). pp. 2015-2035. ISSN 0022-4049. (doi:10.1016/j.jpaa.2018.08.013) (KAR id:57865)

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https://dx.doi.org/10.1016/j.jpaa.2018.08.013

Abstract

Suppose F is a field of prime characteristic p and E is a finite subgroup of the additive group (F,+). Then E is an elementary abelian p-group. We consider two such subgroups, say E and E', to be equivalent if there is an ? ? F× := F \ {0} such that E = ?E'. In this paper we show that rational functions can be used to distinguish equivalence classes of subgroups and, for subgroups of prime rank or rank less than twelve, we give explicit finite sets of separating invariants.

Item Type: Article
DOI/Identification number: 10.1016/j.jpaa.2018.08.013
Uncontrolled keywords: invariant theory; separating invariants; Dickson invariants
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: James Shank
Date Deposited: 13 Oct 2016 09:34 UTC
Last Modified: 16 Feb 2021 13:38 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/57865 (The current URI for this page, for reference purposes)
Shank, R. J.: https://orcid.org/0000-0002-3317-4088
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