scientific article; zbMATH DE number 7317623

zbMath1455.20015MaRDI QIDQ4964900

Alireza Khalili Asboei

Publication date: 4 March 2021

Full work available at URL: http://ijmsi.ir/article-1-1061-en.html

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zbMATH Keywords

prime graphconjugacy class sizeThompson's conjecture

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

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.
• On Thompson's conjecture for some finite simple groups.
• Further reflections on Thompson's conjecture
• Recognition of alternating groups of prime degree from their element orders
• The influence of order and conjugacy class length on the structure of finite groups
• On Thompson's conjecture
• New characterization of symmetric groups of prime degree
• Recognizing alternating groups by their order and one conjugacy class length
• Characterization of the alternating groups by their order and one conjugacy class length
• A characterisation of simple groupsPSL(5,q)
• Prime graph components of the simple groups of Lie type over the field of even characteristic

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