ON THE THOMPSON'S CONJECTURE ON CONJUGACY CLASSES SIZES

DOI10.1142/S0218196712500774zbMath1281.20015WikidataQ123282751 ScholiaQ123282751MaRDI QIDQ4916244

Neda Ahanjideh

Publication date: 22 April 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

conjugacy classesThompson conjectureconjugacy class sizesclassification of finite simple groupsprojective special orthogonal groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) 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)

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

Cites Work

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• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• On the Orders of Maximal Subgroups of the Finite Classical Groups
• A characterization ofL n (q) by the normalizers' orders of their sylow subgroups
• CHARACTERIZATION OF THE GROUPS D_p+1(2) AND D_p+1(3) USING ORDER COMPONENTS

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