Remarks on the length of conjugacy classes of finite groups

DOI10.1080/00927879908826701zbMath0948.20010OpenAlexW2064917206MaRDI QIDQ4262378

Yan Ming Wang, John Cossey

Publication date: 4 June 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826701

zbMATH Keywords

conjugacy classesfinite groupssupersolvable groupsconjugacy class lengths

Mathematics Subject Classification ID

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) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (14)

The sub-class sizes of some elements being square free ⋮ THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ On vanishing criteria that control finite group structure ⋮ Square-free class sizes in products of groups ⋮ Lengths of conjugacy classes of π-elements and primary elements in finite groups ⋮ SOME PRODUCTS OF SUBGROUPS AND VANISHING CONJUGACY CLASS SIZES ⋮ A new characterization of \(A_{12}\). ⋮ Zeros of irreducible characters in factorised groups ⋮ ON CONJUGACY CLASS SIZES AND CHARACTER DEGREES OF FINITE GROUPS ⋮ On the structure of a mutually permutable product of finite groups ⋮ Notes on the length of conjugacy classes of finite groups. ⋮ On finite groups with square-free conjugacy class sizes ⋮ Characterization of simple \(K_4\)-groups. ⋮ On Lengths of Conjugacy Classes and Character Degrees in Finite Groups

Cites Work

• Unnamed Item
• On the length of the conjugacy classes of finite groups
• Connections between prime divisors of conjugacy classes and prime divisors of \(| G| \)

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