The Largest Lengths of Conjugacy Classes of Finite Groups

DOI10.1142/S1005386705000489zbMath1106.20016OpenAlexW2090889173MaRDI QIDQ5461724

Guohua Qian, Liguo He

Publication date: 26 July 2005

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

Full work available at URL: https://doi.org/10.1142/s1005386705000489

zbMATH Keywords

finite groups\(p\)-solvable groupsSylow subgroupscharacter degreesconjugacy class lengths

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Cites Work

• Solvable groups character degrees and sets of primes
• Blocks of defect zero in finite simple groups of Lie type
• A bound for $|G:\mathbf O_p(G)|_p$ in terms of the largest irreducible character degree of a finite $p$-solvable group $G$
• Endliche Gruppen I

This page was built for publication: The Largest Lengths of Conjugacy Classes of Finite Groups