The Wielandt-Hartley theorem for submaximal \(\mathfrak{X}\)-subgroups

DOI10.1007/s00605-020-01425-4OpenAlexW3102535417MaRDI QIDQ784007

Danila Olegovitch Revin, Andrey V. Vasilev, Saveliĭ Vyacheslavovich Skresanov

Publication date: 5 August 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09785

zbMATH Keywords

subnormal subgroupscomplete classfinite nonsolvable groupmaximal \(\mathfrak{X}\)-subgroupssubmaximal \(\mathfrak{X}\)-subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) Subnormal subgroups of abstract finite groups (20D35)

Related Items

The reduction theorem for relatively maximal subgroups ⋮ Submaximal soluble subgroups of odd index in alternating groups ⋮ On embedding theorems for \({\mathfrak{X}}\)-subgroups ⋮ Automorphisms of nonsplit extensions of \(2\)-groups by \(\mathrm{PSL}_2(q)\) ⋮ On \(\pi \)-submaximal subgroups of minimal nonsolvable groups

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