On the coincidence of Gruenberg-Kegel graphs of an almost simple group and a nonsolvable Frobenius group

DOI10.1134/S0081543822030117zbMath1506.20060OpenAlexW4312603538MaRDI QIDQ2095493

K. A. Ilenko, Natal'ya Vladimirovna Maslova

Publication date: 17 November 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543822030117

zbMATH Keywords

finite groupFrobenius groupsimple groupprime graphalmost simple groupGruenberg-Kegel graph

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

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• On finite tetraprimary groups.
• On finite groups with disconnected prime graph.
• Classification of maximal subgroups of odd index in finite simple classical groups.
• Prime graph components of finite groups
• Finite almost simple groups whose Gruenberg-Kegel graphs coincide with Gruenberg-Kegel graphs of solvable groups
• Finite almost simple groups with prime graphs all of whose connected components are cliques
• On the coincidence of Grünberg-Kegel graphs of a finite simple group and its proper subgroup.
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Spectra of finite linear and unitary groups
• Decomposition of the Augmentation Ideal and of the Relation Modules of a Finite Group
• Recognition of the simple groups L3(q) by element orders

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