On the solubilizer of an element in a finite group

DOI10.1007/s00009-023-02341-1OpenAlexW4321455302MaRDI QIDQ2686150

Yanyan Li

Publication date: 24 February 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.09563

zbMATH Keywords

soluble groupsolubility graphsolubilizer

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Uses Software

• GAP

Cites Work

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• On finite insoluble groups with nilpotent maximal subgroups
• On the soluble graph of a finite group
• Thompson-like characterizations of the solvable radical.
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• The solubility graph associated with a finite group
• Finite groups with a nilpotent maximal subgroup
• Nonsolvable finite groups all of whose local subgroups are solvable
• Finite Groups which Contain a Selfcentralizing Subgroup of Order 3

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