On the largest conjugacy class size in a finite group

zbMath0968.20010MaRDI QIDQ1589932

Trevor Hawkes, John Cossey

Publication date: 10 June 2001

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_2000__103__171_0

zbMATH Keywords

conjugacy classesfinite groupsSylow subgroupsconjugacy class sizesAbelian-by-nilpotent groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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)

Related Items (2)

On coprime \(G\)-conjugacy class sizes in a normal subgroup. ⋮ Orbit sizes, character degrees and Sylow subgroups.

Cites Work

• Finite soluble groups

This page was built for publication: On the largest conjugacy class size in a finite group