A Schur ring approach to supercharacters of groups associated with finite radical rings

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A Schur ring approach to supercharacters of groups associated with finite radical rings

André, Carlos A. M.; Freitas, Pedro J.; Silva, Tânia Z.

Communications in algebra, 07/2024, Volume: 52, Issue: 7

Journal Article

We consider the central Schur ring associated with the standard supercharacters of the adjoint group G ( A ) of a finite radical ring A , and define supercharacters of the subgroup C G ( A ) ( σ ) consisting of elements fixed by an involution of G ( A ) naturally defined by an (anti-)involution of A . In particular, we extend known results for unipotent subgroups of the classical finite Chevalley groups.

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André, Carlos A. M. | Freitas, Pedro J. | Silva, Tânia Z.

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