Fixers and stabilizers for Ree groups

2025/04/18 by Xie, Yilin
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2504.13694

Abstract

Let G be a finite permutation group on Ω, a subgroup K\leqslant G is called a fixer if each element in K fixes some element in Ω. In this paper, we characterize fixers K with |K|\geqslant |G_ω| for each primitive action of almost simple group G with socle ²G₂(q).

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