# 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)

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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 10.1016/j.jpaa.2018.08.013 invariant theory; separating invariants; Dickson invariants Q Science > QA Mathematics (inc Computing science)Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics R James Shank 13 Oct 2016 09:34 UTC 20 Aug 2019 23:00 UTC https://kar.kent.ac.uk/id/eprint/57865 (The current URI for this page, for reference purposes) https://orcid.org/0000-0002-3317-4088
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