On the intersection of solvable Hall subgroups in finite simple exceptional groups of Lie type

2013/03/05 by Evgeny P. Vdovin, Vdovin, Evgeny P.
Computer Science · Mathematics · #20D20 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #msc:20D20

paper · pdf · doi:10.48550/arxiv.1303.0936

arxiv created 2013/03/05 · openalex publication_date 2013/03/05 · arxiv updated 2013/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Assume that a finite almost simple group with simple socle isomorphic to an exceptional group of Lie type possesses a solvable Hall subgroup. Then there exist four conjugates of the subgroup such that their intersection is trivial.

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