\text{M}, \text{B} and \(\mathrm{Co}_1\) are recognisable by their prime graphs

DOI10.1515/jgth-2021-0119OpenAlexW4288050318MaRDI QIDQ2111345

Melissa Lee, Tomasz Popiel

Publication date: 13 January 2023

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12755

Mathematics Subject Classification ID

Group theory and generalizations (20-XX)

Uses Software

• GAP
• Magma
• ATLAS Group Representations

Cites Work

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• The Magma algebra system. I: The user language
• Recognition of the sporadic simple groups \(Ru\), \(HN\), \(Fi_{22}\), \(He\), \(M^cL\), and \(Co_3\) by their Gruenberg-Kegel graphs
• Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph
• 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
• On the centralizers of involutions in finite groups. II
• 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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