Recognition of the sporadic simple groups \(Ru\), \(HN\), \(Fi_{22}\), \(He\), \(M^cL\), and \(Co_3\) by their Gruenberg-Kegel graphs

DOI10.1134/S0081543821030135OpenAlexW3186417242MaRDI QIDQ2043628

Anatoli Kondrat'ev

Publication date: 3 August 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821030135

zbMATH Keywords

spectrumfinite groupsimple groupsporadic groupgruenberg-kegel graphrecognition by Gruenberg-Kegel graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

A brief history of gravitational wave research, 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, \text{M}, \text{B} and \(\mathrm{Co}_1\) are recognisable by their prime graphs

Uses Software

• GAP

Cites Work

• On finite tetraprimary groups.
• Prime graph components of finite groups
• Prime graph components of finite almost simple groups
• The Maximal Subgroups of the Low-Dimensional Finite Classical 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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