Fixers and stabilizers for Ree groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908326125633536 |
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| author | Xie, Yilin |
| author_facet | Xie, Yilin |
| contents | 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 ${}^2G_2(q).$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13694 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fixers and stabilizers for Ree groups Xie, Yilin Group Theory Combinatorics 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 ${}^2G_2(q).$ |
| title | Fixers and stabilizers for Ree groups |
| topic | Group Theory Combinatorics |
| url | https://arxiv.org/abs/2504.13694 |