Given a finite nonabelian semisimple group G, we describe those groups that have the same holomorph as G, that is, those regular subgroups N G of S (G) S(G), the group of permutations on the set , such that NS(G) (N) = NS(G) (ρ(G)), where ρ is the right regular representation of .
On the holomorph of finite semisimple groups / Blyth R.D.; Fumagalli F.. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - STAMPA. - 0:(2020), pp. 0-0. [10.1515/jgth-2020-0014]
On the holomorph of finite semisimple groups
Fumagalli F.
2020
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 G of S (G) S(G), the group of permutations on the set , such that NS(G) (N) = NS(G) (ρ(G)), where ρ is the right regular representation of .
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[14354446 - Journal of Group Theory] On the holomorph of finite semisimple groups.pdf
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