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• W3085590606 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." @default.
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• W3085590606 date "2021-01-01" @default.
• W3085590606 modified "2023-09-23" @default.
• W3085590606 title "Modular invariants of finite gluing groups" @default.
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• W3085590606 doi "https://doi.org/10.1016/j.jalgebra.2020.08.034" @default.
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