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arXiv · 2504.13694

Fixers and stabilizers for Ree groups

Yilin Xie
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Abstract

Let $G$ be a finite permutation group on $\Omega,$ a subgroup $K\leqslant G$ is called a fixer if each element in $K$ fixes some element in $\Omega.$ In this paper, we characterize fixers $K$ with $|K|\geqslant |G_\omega|$ for each primitive action of almost simple group $G$ with socle ${}^2G_2(q).$

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Yilin Xie. 2025-04-18. Fixers and stabilizers for Ree groups. https://arxiv.org/abs/2504.13694

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