Thompson's conjecture for some finite simple groups with connected prime graph.

DOI10.1007/S10469-013-9206-0zbMath1309.20019OpenAlexW2094090342WikidataQ123262300 ScholiaQ123262300MaRDI QIDQ354472

Neda Ahanjideh

Publication date: 19 July 2013

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-013-9206-0

zbMATH Keywords

Thompson conjecturefinite simple groups of Lie typeconjugacy class sizesprime graphs

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)

Related Items (7)

Thompson's conjecture for finite simple groups of Lie type \(B_n\) and \(C_n\). ⋮ 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. ⋮ 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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