Simple groups whose Gruenberg-Kegel graph or solvable graph is split

DOI10.1007/s40840-019-00815-8zbMath1481.20044OpenAlexW2964934217WikidataQ127408240 ScholiaQ127408240MaRDI QIDQ1988567

Mark L. Lewis, M. A. Zvezdina, Ali Reza Moghaddamfar, Javad Mirzajani, Andrey V. Vasilev

Publication date: 23 April 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00815-8

zbMATH Keywords

split graphsimple groupsolvable graphGruenberg-Kegel graph

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)

Related Items (2)

On the nilpotency of the solvable radical of a finite group isospectral to a simple group ⋮ Unnamed Item

Cites Work

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• On nonabelian simple groups having the same prime graph as an alternating group.
• On finite groups isospectral to simple classical groups.
• A characterization of the prime graphs of solvable groups.
• Cocliques of maximal size in the prime graph of a finite simple group
• A remark on Artin's conjecture
• Prime graph components of finite groups
• The splittance of a graph
• The characterization of Ree groups \(^2F_4(q)\) by their element orders
• A characterization of finite simple groups with abelian Sylow \(2\)-subgroups
• A recognition of simple groups \(\text{PSL}(3,q)\) by their element orders.
• Recognition of alternating groups of prime degree from their element orders
• A generalization of prime graphs of finite groups
• On recognition by spectrum of the simple groups \(B_3(q)\), \(C_3(q)\), and \(D_4(q)\).
• On the Soluble Graph of a Finite Simple Group
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS
• The Prime Graph of a Sporadic Simple Group
• Groups with complete prime graph connected components
• Recognition of finite groups by the prime graph
• The orders of the linear groups

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