Fixers and stabilizers for Ree groups

Yilin Xie

Fixers and stabilizers for Ree groups

Group Theory 2025-04-21 v1 Combinatorics

Authors: Yilin Xie

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 ${}^2G_2(q).$

Keywords

permutation groups finite group theory

Cite

@article{arxiv.2504.13694,
  title  = {Fixers and stabilizers for Ree groups},
  author = {Yilin Xie},
  journal= {arXiv preprint arXiv:2504.13694},
  year   = {2025}
}

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