scientific article; zbMATH DE number 7339846

zbMath1474.20038MaRDI QIDQ4986384

Soleyman Asgary

Publication date: 27 April 2021

Full work available at URL: http://www.spm.uem.br/bspm/pdf/vol39-2/2.pdf

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zbMATH Keywords

classification of finite simple groupsmaximal order of elements

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

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• Prime graph components of finite groups
• Further reflections on Thompson's conjecture
• Recognition of alternating groups of prime degree from their element orders
• A characterization of \(\text{PSL}(3,q)\) where \(q\) is an odd prime power
• A characterization of \(\text{PSL}(3,q)\) for \(q=2^m\)
• A New Characterization of Simple K₃-Groups and Some L₂(p)
• A CHARACTERIZATION OF SOME PGL(2, q) BY MAXIMUM ELEMENT ORDERS
• Recognizability of finite simple groups L 4(2m) and U 4(2m) by spectrum
• On Large Zsigmondy Primes
• Recognition of the simple groups L3(q) by element orders

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