On Thompson's conjecture.
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Publication:2454558
zbMath1289.20057MaRDI QIDQ2454558
Publication date: 13 June 2014
Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)
Full work available at URL: http://semr.math.nsc.ru/v6/p457-464.pdf
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)
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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. ⋮ Thompson's conjecture for some finite simple groups with connected prime graph. ⋮ Structure of finite groups with four conjugacy class sizes of certain elements ⋮ PGL2(q) cannot be determined by its cs ⋮ Thompson's conjecture for alternating group of degree 22. ⋮ Thompson’s conjecture on conjugacy class sizes for the simple group PSUn(q) ⋮ On \(p\)-index extremal groups ⋮ Characterization of \(\text{PGL}(2,p)\) by its order and one conjugacy class size. ⋮ On Thompson's conjecture for finite simple exceptional groups of Lie type ⋮ A variation of Thompson's conjecture for the symmetric groups ⋮ Thompson's conjecture for Lie type groups \(E_7(q)\). ⋮ A characterization of automorphism groups of simple \(K_3\)-groups. ⋮ Thompson’s conjecture for alternating groups ⋮ Thompson's conjecture for simple groups with connected prime graph. ⋮ Recognizing simple \(K_4\)-groups by few special conjugacy class sizes ⋮ Finite groups with the same conjugacy class sizes as a finite simple group ⋮ On Thompson's conjecture for some finite simple groups. ⋮ On Thompson’s conjecture for finite simple groups
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