Groups that have the same holomorph as a finite perfect group

DOI10.1016/j.jalgebra.2018.04.006zbMath1418.20008arXiv1612.03573OpenAlexW2561155768WikidataQ130009390 ScholiaQ130009390MaRDI QIDQ2636361

Francesca Dalla Volta, Andrea Caranti

Publication date: 5 June 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.03573

zbMATH Keywords

automorphismregular subgroupscentral productsholomorphmultiple holomorphfinite perfect groups

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Products of subgroups of abstract finite groups (20D40) Subgroups of symmetric groups (20B35)

Related Items (11)

The mutually normalizing regular subgroups of the holomorph of a cyclic group of prime power order ⋮ On the holomorph of finite semisimple groups ⋮ The multiple holomorph of split metacyclic p-groups ⋮ Hopf-Galois structures on extensions of degree \(p^2q\) and skew braces of order \(p^2q\): the cyclic Sylow \(p\)-subgroup case ⋮ The multiple holomorph of a semidirect product of groups having coprime exponents ⋮ Module braces: relations between the additive and the multiplicative groups ⋮ Finite \(p\)-groups of class two with a small multiple holomorph ⋮ Bi-skew braces and regular subgroups of the holomorph ⋮ Multiple holomorphs of finite \(p\)-groups of class two ⋮ On the multiple holomorph of groups of squarefree or odd prime power order ⋮ Finite \(p\)-groups of class two with a large multiple holomorph

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