On the Soluble Graph of a Finite Simple Group

DOI10.1080/00927872.2012.656336zbMath1284.20011OpenAlexW2065812835MaRDI QIDQ2842303

Bernhard Amberg, Lev S. Kazarin

Publication date: 13 August 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.656336

zbMATH Keywords

finite simple groupssoluble subgroupsindependence numberssoluble graphs

Mathematics Subject Classification ID

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 (5)

On centers of soluble graphs ⋮ Thompson-like characterization of solubility for products of finite groups ⋮ Simple groups whose Gruenberg-Kegel graph or solvable graph is split ⋮ On the Hawkes graphs of finite groups ⋮ N-critical graph of finite groups

Cites Work

• Unnamed Item
• Cocliques of maximal size in the prime graph of a finite simple group
• Criteria for the solubility and non-simplicity of finite groups.
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• On groups which are the product of two solvable subgroups
• Centralizers of Semisimple Elements in the Finite Classical Groups
• p-SOLVABILITY AND A GENERALIZATION OF PRIME GRAPHS OF FINITE GROUPS
• Perfect Pell Powers

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