Abelian subgroups and semisimple elements in 2-modular representations\n of the symplectic group Sp_2n(2)

2020/04/02 by Alexandre Zalesski, Zalesski, Alexandre
Computer Science · Mathematics · #20G05 #20G40 #Advanced Algebra and Geometry #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2004.01287

openalex publication_date 2020/04/02 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We determine the irreducible 2-modular representations of the symplectic\ngroup G=Sp_2n(2) whose restriction to every abelian subgroup has a trivial\nconstituent. A similar result is obtained for maximal tori of G. There is\nsignificant information on the existence of eigenvalue 1 of elements of G in\na given irreducible representation of G.\n

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