Classification and properties of the \(\pi \)-submaximal subgroups in minimal nonsolvable groups

DOI10.1007/S13373-017-0112-YzbMath1439.20019arXiv1706.02016OpenAlexW3105772101WikidataQ59481422 ScholiaQ59481422MaRDI QIDQ1656842

Danila Olegovitch Revin, Wen-Bin Guo

Publication date: 10 August 2018

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02016

zbMATH Keywords

pronormal subgroupminimal simple group\(\pi \)-maximal subgroup\(\pi \)-submaximal subgroupminimal nonsolvable group

Mathematics Subject Classification ID

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

Related Items (10)

The reduction theorem for relatively maximal subgroups ⋮ Examples of nonpronormal relatively maximal subgroups of finite simple groups ⋮ The behavior of \(\pi \)-submaximal subgroups under homomorphisms with \(\pi \)-separable kernels ⋮ Automorphisms of nonsplit extensions of \(2\)-groups by \(\mathrm{PSL}_2(q)\) ⋮ Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups ⋮ Maximal and submaximal \(\mathfrak{X}\)-subgroups ⋮ On the behavior of π-submaximal subgroups under homomorphisms ⋮ The Wielandt-Hartley theorem for submaximal \(\mathfrak{X}\)-subgroups ⋮ Submaximal and epimaximal \(\mathfrak{X}\)-subgroups ⋮ On \(\pi \)-submaximal subgroups of minimal nonsolvable groups

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