On the behavior of π-submaximal subgroups under homomorphisms

DOI10.1080/00927872.2019.1654500zbMath1471.20015arXiv1907.04994OpenAlexW3103077244MaRDI QIDQ4959874

Andrei V. Zavarnitsine, Danila Olegovitch Revin

Publication date: 7 April 2020

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

Full work available at URL: https://arxiv.org/abs/1907.04994

zbMATH Keywords

subnormal subgroupminimal nonsolvable group\(\pi\)-maximal subgroup\(\pi\)-submaximal subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28)

Related Items (4)

The reduction theorem for relatively maximal subgroups ⋮ The behavior of \(\pi \)-submaximal subgroups under homomorphisms with \(\pi \)-separable kernels ⋮ Automorphisms of nonsplit extensions of \(2\)-groups by \(\mathrm{PSL}_2(q)\) ⋮ On \(\pi \)-submaximal subgroups of minimal nonsolvable groups

Uses Software

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• Classification and properties of the \(\pi \)-submaximal subgroups in minimal nonsolvable groups
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• Maximal and submaximal \(\mathfrak{X}\)-subgroups
• A theorem of Sylow type for finite groups
• The Finite Simple Groups
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I

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