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Modular Invariants of Finite Gluing Groups

Chen, Yin, Shank, R. James, Wehlau, David L. (2021) Modular Invariants of Finite Gluing Groups. Journal of Algebra, 566 . pp. 405-434. ISSN 0021-8693. (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:82909)

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Language: English

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Official URL
https://doi.org/10.1016/j.jalgebra.2020.08.034

Abstract

We use the gluing construction introduced by Jia Huang to explore the rings of invariants for a range of modular representations. We construct generating sets for the rings of invariants of the maximal parabolic subgroups of a finite symplectic group and their common Sylow p-subgroup. We also investigate the invariants of singular finite classical groups. We introduce parabolic gluing and use this construction to compute the invariant field of fractions for a range of representations. We use thin gluing to construct faithful representations of semidirect products and to determine the minimum dimension of a faithful representation of the semidirect product of a cyclic p-group acting on an elementary abelian p-group.

Item Type: Article
Uncontrolled keywords: Modular invariants; gluing groups
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: James Shank
Date Deposited: 14 Sep 2020 13:55 UTC
Last Modified: 05 Oct 2020 10:01 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/82909 (The current URI for this page, for reference purposes)
Shank, R. James: https://orcid.org/0000-0002-3317-4088
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