On the Validity of Thompson's Conjecture for Finite Simple Groups

DOI10.1080/00927872.2012.692003zbMath1285.20010OpenAlexW2047158780MaRDI QIDQ2855410

Milad Ahanjideh, Neda Ahanjideh

Publication date: 25 October 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.692003

zbMATH Keywords

finite simple groupsThompson conjectureconjugacy class sizesprime graphs

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

On Thompson's conjecture for alternating groups of large degree ⋮ Thompson's conjecture for finite simple groups of Lie type \(B_n\) and \(C_n\). ⋮ On Thompson's conjecture for alternating and symmetric groups of degree greater than 1361. ⋮ PGL2(q) cannot be determined by its cs ⋮ Thompson’s conjecture on conjugacy class sizes for the simple group PSUn(q) ⋮ Characterization of \(\text{PGL}(2,p)\) by its order and one conjugacy class size. ⋮ Characterization of some finite groups by order and length of one conjugacy class. ⋮ Finite groups with the same conjugacy class sizes as a finite simple group ⋮ Non-solvable groups and the two-prime hypothesis on conjugacy class sizes ⋮ On Thompson’s conjecture for finite simple groups

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