Finite groups have even more conjugacy classes.
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Publication:532594
DOI10.1007/s11856-011-0017-5zbMath1261.20030arXiv0812.2590OpenAlexW2122716902MaRDI QIDQ532594
Publication date: 5 May 2011
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.2590
Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)
Related Items (17)
THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Variations of Landau's theorem for \(p\)-regular and \(p\)-singular conjugacy classes. ⋮ \(p\)-regular conjugacy classes and \(p\)-rational irreducible characters ⋮ Landau's theorem and the number of conjugacy classes of zeros of characters ⋮ THE NUMBER OF SET ORBITS OF PERMUTATION GROUPS AND THE GROUP ORDER ⋮ Prime divisors and the number of conjugacy classes of finite groups ⋮ Multiplicities of character codegrees of finite groups ⋮ Groups with small multiplicities of fields of values of irreducible characters ⋮ A lower bound for the number of conjugacy classes of a finite group. ⋮ Bounds on the largest Kronecker and induced multiplicities of finite groups ⋮ Finite groups have more conjugacy classes ⋮ On the number of conjugacy classes of finite nilpotent groups. ⋮ NEW REDUCTIONS AND LOGARITHMIC LOWER BOUNDS FOR THE NUMBER OF CONJUGACY CLASSES IN FINITE GROUPS ⋮ A lower bound for the number of odd-degree representations of a finite group ⋮ Numerical bounds for the exterior degree of finite simple groups ⋮ On the number of conjugacy classes of a permutation group. ⋮ The number of set-orbits of a solvable permutation group
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