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. (KAR id:82909)
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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 |
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Uncontrolled keywords: | Modular invariants; gluing groups |
Subjects: | 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: | 14 Sep 2020 13:55 UTC |
Last Modified: | 14 Nov 2022 23:10 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/82909 (The current URI for this page, for reference purposes) |
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