Alperin's conjecture and the subgroup structure of a finite group

DOI10.1216/rmjm/1022008988zbMath0989.20004OpenAlexW2159532081WikidataQ122863764 ScholiaQ122863764MaRDI QIDQ5928671

I. M. Isaacs

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-1/CONT30-1/CONT30-1.html

zbMATH Keywords

weightsnumbers of conjugacy classesnumbers of irreducible characters\(p\)-subgroupsAlperin's weight conjecturesections

Mathematics Subject Classification ID

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

Related Items

Orbit sizes, local subgroups and chains of p-groups

Cites Work

• Unnamed Item
• The number of blocks with a given defect group
• Weights and vertices for characters of \(\pi\)-separable groups
• Some Remarks on a Conjecture of Alperin
• Locally Determined Functions and Alperin's Conjecture
• ON A THEOREM OF BURNSIDE
• On the Möbius function of a finite group