arXiv · 1912.07290
On the holomorph of finite semisimple groups
Abstract
Given a finite nonabelian semisimple group $G$, we describe those groups that have the same holomorph as $G$, that is, those regular subgroups $N\simeq G$ of $S(G)$, the group of permutations on the set $G$, such that $N_{S(G)}(N)=N_{S(G)}(\rho(G))$, where $\rho$ is the right regular representation of $G$.
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Russell Blyth, Francesco Fumagalli. 2019-12-16. On the holomorph of finite semisimple groups. https://arxiv.org/abs/1912.07290
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