The solubility graph associated with a finite group

DOI10.1142/S0218196720500538zbMath1472.20026arXiv2003.01205OpenAlexW3041887090MaRDI QIDQ5135739

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Publication date: 23 November 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01205

zbMATH Keywords

finite groupsoluble groupsolubility graph

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)

Related Items (3)

Non-solvable graphs of groups ⋮ On the solubilizer of an element in a finite group ⋮ On the soluble graph of a finite group

Cites Work

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• On a finite group with a partition
• A generalization of prime graphs of finite groups
• The diameter of the solvable graph of a finite group
• Thompson-like characterizations of the solvable radical.
• Finite groups in which some property of two-generator subgroups is transitive
• Nonsolvable finite groups all of whose local subgroups are solvable
• On a class of doubly transitive groups

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