NEW REDUCTIONS AND LOGARITHMIC LOWER BOUNDS FOR THE NUMBER OF CONJUGACY CLASSES IN FINITE GROUPS

DOI10.1017/S0004972712000536zbMath1278.20029MaRDI QIDQ4928718

Edward A. Bertram

Publication date: 18 June 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite solvable groupsnumbers of conjugacy classesFrattini subgrouplogarithmic boundsFitting subgroup

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Asymptotic results on counting functions for algebraic and topological structures (11N45)

Related Items (3)

Finite groups have more conjugacy classes ⋮ New lower bounds for the number of conjugacy classes in finite nilpotent groups ⋮ Numerical bounds for the exterior degree of finite simple groups

Cites Work

• Finite groups have even more conjugacy classes.
• Large centralizers in finite solvable groups
• Classification of finite groups according to the number of conjugacy classes
• Classification of finite groups according to the number of conjugacy classes. II
• Lower bounds for the number of conjugacy classes in finite solvable groups
• A lower bound for the number of conjugacy classes in a finite nilpotent group
• The nilpotence class of the Frattini subgroup
• Finite Groups Have Many Conjugacy Classes
• THE NUMBER OF CONJUGACY CLASSES OF CERTAIN FINITE GROUPS
• The finite groups with thirteen and fourteen conjugacy classes
• A Bound for the Number of Conjugacy Classes in a Group
• Endliche Gruppen I
• On some problems of a statistical group-theory. IV

This page was built for publication: NEW REDUCTIONS AND LOGARITHMIC LOWER BOUNDS FOR THE NUMBER OF CONJUGACY CLASSES IN FINITE GROUPS