Hall Graph of a Finite Group

DOI10.1285/i15900932v39n2p25zbMath1442.20012OpenAlexW3120192588MaRDI QIDQ5215551

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Publication date: 12 February 2020

Full work available at URL: http://siba-ese.unisalento.it/index.php/notemat/article/view/21626/18315

zbMATH Keywords

finite groupHall subgroupdegree pattern of a Hall graphsimple group Hall graph

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) 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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• A new characterization of some simple groups by order and degree pattern of solvable graph
• A characterization of some finite simple groups by orders of their solvable subgroups
• New criteria for the solvability of finite groups
• Hall subgroups of order not divisible by 3
• Hall subgroups and \(\pi\)-separable groups
• A generalization of prime graphs of finite groups
• Theorems Like Sylow's
• p-SOLVABILITY AND A GENERALIZATION OF PRIME GRAPHS OF FINITE GROUPS
• Conjugacy of Odd order Hall Subgroups
• Hall subgroups of the symmetric groups
• On a class of doubly transitive groups

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