Critical maximal subgroups and conjugacy of supplements in finite soluble groups

DOI10.1515/JGTH-2017-0033zbMath1405.20017OpenAlexW2890486939MaRDI QIDQ1693064

Barbara Baumeister, Gil Kaplan

Publication date: 11 January 2018

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

Full work available at URL: https://doi.org/10.1515/jgth-2017-0033

zbMATH Keywords

conjugate class of complementsfinite groups with abelian normal subgroup

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Products of subgroups of abstract finite groups (20D40)

Cites Work

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• Finite soluble groups
• The automorphism group of an extraspecial \(p\)-group
• Über die \(\Phi\)-Untergruppe endlicher Gruppen
• A note on conjugacy of supplements in finite soluble groups

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