Characterization of some finite groups by order and length of one conjugacy class.

DOI10.1134/S0037446616020014zbMath1344.20035MaRDI QIDQ530263

Alireza Khalili Asboei, Seyed Sadegh Salehi Amiri

Publication date: 29 July 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsThompson conjectureorders of groupsprime graphssets of element ordersrecognizable groupsconjugacy class lengths

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (2)

Unnamed Item ⋮ New characterization of symmetric groups of prime degree

Cites Work

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• Recognizing \(L_2(p)\) by its order and one special conjugacy class size.
• \(r\)-recognizability of \(B_n(q)\) and \(C_n(q)\) where \(n=2^m\geqslant 4\).
• Prime graph components of finite groups
• A Diophantine equation which arises in the theory of finite groups
• Recognition of alternating groups of prime degree from their element orders
• Quasigroups, loops, and associative laws
• Recognizing alternating groups by their order and one conjugacy class length
• On the Validity of Thompson's Conjecture for Finite Simple Groups
• Prime graph components of the simple groups of Lie type over the field of even characteristic

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