The behavior of \(\pi \)-submaximal subgroups under homomorphisms with \(\pi \)-separable kernels

DOI10.33048/semi.2020.17.087zbMath1443.20051arXiv2006.09752OpenAlexW3036361858MaRDI QIDQ2200994

Andrei V. Zavarnitsine, Danila Olegovitch Revin

Publication date: 24 September 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09752

zbMATH Keywords

complete class\( \pi \)-separable group\(\mathcal{X}\)-maximal subgroup\(\mathcal{X}\)-submaximal subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) General structure theorems for groups (20E34)

Related Items (3)

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

Cites Work

• Classification and properties of the \(\pi \)-submaximal subgroups in minimal nonsolvable groups
• On the behavior of π-submaximal subgroups under homomorphisms
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