Finite groups have more conjugacy classes

DOI10.1515/forum-2015-0090zbMath1377.20023arXiv1503.04046OpenAlexW2963450532MaRDI QIDQ516938

Attila Maróti, Hung P. Tong-Viet, Barbara Baumeister

Publication date: 15 March 2017

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04046

zbMATH Keywords

lower boundsnumber of conjugacy classestrivial solvable radical

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)

Related Items (10)

\(p\)-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 ⋮ Groups with small multiplicities of fields of values of irreducible characters ⋮ On a Theorem of Ledermann and Neumann ⋮ Bounds on the largest Kronecker and induced multiplicities of finite groups ⋮ New lower bounds for the number of conjugacy classes in finite nilpotent 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

Uses Software

• GAP
• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite groups have even more conjugacy classes.
• On the number of conjugacy classes of finite nilpotent groups.
• Extensions of unipotent characters and the inductive McKay condition.
• Permutation groups without exponentially many orbits on the power set
• The Magma algebra system. I: The user language
• SMALLEST DEGREES OF REPRESENTATIONS OF EXCEPTIONAL GROUPS OF LIE TYPE
• Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements
• Finite Groups Have Many Conjugacy Classes
• THE NUMBER OF CONJUGACY CLASSES OF CERTAIN FINITE GROUPS
• NEW REDUCTIONS AND LOGARITHMIC LOWER BOUNDS FOR THE NUMBER OF CONJUGACY CLASSES IN FINITE GROUPS
• A Bound for the Number of Conjugacy Classes in a Group
• Solvable Primitive Permutation Groups of Low Rank
• On some problems of a statistical group-theory. IV

This page was built for publication: Finite groups have more conjugacy classes