A generalization of prime graphs of finite groups

DOI10.14492/HOKMJ/1350912979zbMath0965.20008OpenAlexW1975429329MaRDI QIDQ1587246

Nobuo Iiyori, Seiichi Abe

Publication date: 7 May 2001

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1350912979

zbMATH Keywords

finite groupsSylow subgroupssimple groupssolvable subgroupssolvable graphsgeneralized prime graphs

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)

Related Items (16)

Hall Graph of a Finite Group ⋮ p-SOLVABILITY AND A GENERALIZATION OF PRIME GRAPHS OF FINITE GROUPS ⋮ On centers of soluble graphs ⋮ A conjecture of Abe-Iiyori and the Ree groups \(^2F_4(q)\). II. ⋮ Thompson-like characterization of solubility for products of finite groups ⋮ On the product of a nilpotent group and a group with non-trivial center. ⋮ The rainbow connection number of the enhanced power graph of a finite group ⋮ Unnamed Item ⋮ The solubility graph associated with a finite group ⋮ Simple groups whose Gruenberg-Kegel graph or solvable graph is split ⋮ Criteria for the solubility and non-simplicity of finite groups. ⋮ On a graph related to permutability in finite groups ⋮ Factorizations of groups and related topics. ⋮ On the Hawkes graphs of finite groups ⋮ On the connected components of the prime and Sylow graphs of a finite group ⋮ N-critical graph of finite groups

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