Cross-Characteristic Representations of $Sp_6(2^a)$ and Their Restrictions to Maximal Subgroups

Details Cross-Characteristic Representations of $Sp_6(2^a)$ and Their Restrictions to Maximal Subgroups Cross-Characteristic Representations of $Sp_6(2^a)$ and Their Restrictions to Maximal Subgroups

2012-04-24

arxiv.org/abs/1204.5514v1

Mathematics

Group Theory

Scientific paper

We classify all pairs $(V,H)$, where $H$ is a proper subgroup of $G=Sp_6(q)$,
$q$ even, and $V$ is an $\ell$-modular representation of $G$ for $\ell\neq 2$
which is absolutely irreducible as a representation of $H$. This problem is
motivated by the Aschbacher-Scott program on classifying maximal subgroups of
finite classical groups.

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