An OD-Characterizable Class of Simple Groups

zbMath1454.20018arXiv1806.02111MaRDI QIDQ5130694

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Publication date: 28 October 2020

Full work available at URL: https://arxiv.org/abs/1806.02111

zbMATH Keywords

simple groupprime graphdegree patternOD-characterization of a finite group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05)

Cites Work

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• Recognizability of groups \(G_2(q)\) by spectrum.
• Characterization of \(G_2(q)\), where \(2<q\equiv-1\pmod 3\), by order components.
• Groups with the same order and degree pattern.
• Prime graph components of finite groups
• A characterization of \(\text{PSU}_3(q)\) for \(q>5\)
• Exceptional action of the simple groups \(L_4(q)\) in the defining characteristic.
• Finite simple groups with narrow prime spectrum.
• Recognition of simple groups U 3(Q) by element orders
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• A Characterization of Finite Simple Groups by the Degrees of Vertices of Their Prime Graphs

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