Cross-Characteristic Representations of Sp₆(2^a) and Their Restrictions to Maximal Subgroups

2012/04/24 by A. A. Schaeffer Fry, Amanda A. Schaeffer Fry, Fry, Amanda A. Schaeffer
Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT

paper · pdf · doi:10.48550/arxiv.1204.5514

arxiv created 2012/04/24 · openalex publication_date 2012/04/24 · arxiv updated 2012/04/26 · openalex created_date 2022/08/28 · openalex updated_date 2026/07/28

Abstract

We classify all pairs (V,H), where H is a proper subgroup of G=Sp₆(q), q even, and V is an ℓ-modular representation of G for ℓ≠ 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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