New characterization of symmetric groups of prime degree

DOI10.1515/AUSM-2017-0001zbMath1370.20013OpenAlexW2745294968MaRDI QIDQ2399836

Alireza Khalili Asboei, Reza Mohammadyari

Publication date: 24 August 2017

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ausm-2017-0001

zbMATH Keywords

symmetric groupfinite groupconjugacy class length

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) Symmetric groups (20B30)

Related Items (2)

Unnamed Item ⋮ A variation of Thompson's conjecture for the symmetric groups

Cites Work

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• Recognizing \(L_2(p)\) by its order and one special conjugacy class size.
• Characterization of some finite groups by order and length of one conjugacy class.
• 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
• On Thompson's conjecture
• Recognizing alternating groups by their order and one conjugacy class length
• Characterization of the alternating groups by their order and one conjugacy class length
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• Prime graph components of the simple groups of Lie type over the field of even characteristic

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