On finite totally $2$-closed groups
An abstract group $G$ is called totally $2$-closed if $H=H^{(2),\Omega }$ for any set $\Omega $ with $G\cong H\le \mathrm{Sym}(\Omega )$, where $H^{(2),\Omega }$ is the largest subgroup of $\mathrm{Sym}(\Omega )$ whose orbits on $\Omega \times \Omega $ are the same orbits of $H$. In this paper, we c...
Main Authors: | Abdollahi, Alireza, Arezoomand, Majid, Tracey, Gareth |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2022-09-01
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Series: | Comptes Rendus. Mathématique |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.355/ |
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