Automorphisms of nonsplit extensions of \(2\)-groups by \(\mathrm{PSL}_2(q)\)

DOI10.1515/jgth-2021-0067OpenAlexW3177740877MaRDI QIDQ2240146

Andrei V. Zavarnitsine, Danila Olegovitch Revin

Publication date: 8 November 2021

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09201

Mathematics Subject Classification ID

Group theory and generalizations (20-XX)

Related Items

Automorphisms of nonsplit coverings of \(PSL_2(q)\) in odd characteristic dividing \(q-1\), On \(\pi \)-submaximal subgroups of minimal nonsolvable groups

Uses Software

• GAP

Cites Work

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• The Wielandt-Hartley theorem for submaximal \(\mathfrak{X}\)-subgroups
• Subextensions for a permutation \(\mathrm{PSL}_2(q)\)-module.
• Die Zerlegungsmatrizen der Gruppen \(PSL(2,p^f)\)
• Classification and properties of the \(\pi \)-submaximal subgroups in minimal nonsolvable groups
• Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups
• Maximal and submaximal \(\mathfrak{X}\)-subgroups
• The behavior of \(\pi \)-submaximal subgroups under homomorphisms with \(\pi \)-separable kernels
• On the behavior of π-submaximal subgroups under homomorphisms
• The reduction theorem for relatively maximal subgroups
• Nonsolvable finite groups all of whose local subgroups are solvable