A Character Theoretic Condition for F(G) > 1

DOI10.1081/AGB-200058414zbMath1098.20005MaRDI QIDQ5462859

Stephen M. jun. Gagola

Publication date: 27 July 2005

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

zbMATH Keywords

finite groupsirreducible charactersFitting subgroupnormal Abelian subgroups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (8)

Brauer characters and normal Sylow \(p\)-subgroups ⋮ On the number of prime divisors of character degrees and conjugacy classes of a finite group ⋮ p-parts of character degrees ⋮ Blocks of small defect in alternating groups and squares of Brauer character degrees ⋮ On \(p\)-parts of Brauer character degrees and \(p\)-regular conjugacy class sizes of finite groups ⋮ An analog of nilpotence arising from supercharacter theory ⋮ On \(p\)-parts of character degrees and conjugacy class sizes of finite groups ⋮ A character theoretic criterion for a \(p\)-closed group.

Cites Work

• Unnamed Item
• A finite simple group of Lie type has p-blocks with different defects, \(p\neq 2\)
• Blocks of defect zero in finite simple groups of Lie type
• A character theoretic condition characterizing nilpotent groups
• Defect zero blocks for finite simple groups

This page was built for publication: A Character Theoretic Condition for F(G) > 1