Orbit sizes, local subgroups and chains of p-groups

DOI10.1017/S1446788700002962zbMath0999.20004MaRDI QIDQ4531549

I. M. Isaacs

Publication date: 5 September 2002

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

zbMATH Keywords

defect groupsnumbers of orbitsgroup actionsSylow subgroupsirreducible complex characterspermutation modulespermutation actionsAlperin weight conjectureconjugacy classes of \(p\)-subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Series and lattices of subgroups (20D30)

Related Items

Products of primes in conjugacy class sizes and irreducible character degrees., Groups whose prime graph on conjugacy class sizes has few complete vertices., Sylow subgroups and fusion of characters, Groups whose real irreducible characters have degrees coprime to \(p\)., On independent sets in the class graph of a finite group.

Cites Work

• On Scott Modules and p-Permutation Modules: An Approach through the Brauer Morphism
• Some Remarks on a Conjecture of Alperin
• Alperin's conjecture and the subgroup structure of a finite group