On recognition of the sporadic simple groups \(HS\), \(J_3\), \(Suz\), \(O'N\), \(Ly\), \(Th\), \(Fi_{23}\), and \(Fi'_{24}\) by the Gruenberg-Kegel graph

DOI10.1134/S0037446620060099zbMath1498.20057OpenAlexW3121910895MaRDI QIDQ2222194

Anatoli Kondrat'ev

Publication date: 26 January 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446620060099

zbMATH Keywords

recognitionfinite groupsimple groupsporadic groupGruenberg-Kegel graph

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (2)

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ \text{M}, \text{B} and \(\mathrm{Co}_1\) are recognisable by their prime graphs

Uses Software

• GAP

Cites Work

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• On finite tetraprimary groups.
• Prime graph components of finite groups
• Recognition of the sporadic simple groups \(Ru\), \(HN\), \(Fi_{22}\), \(He\), \(M^cL\), and \(Co_3\) by their Gruenberg-Kegel graphs
• Addendum to ``Prime graph components of finite almost simple groups.
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• A characterization of some alternating and symmetric groups
• The Prime Graph of a Sporadic Simple Group
• Recognition of finite groups by the prime graph

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