On finite groups all of whose \(p\)-blocks are of the highest defect

DOI10.1016/0021-8693(88)90053-1zbMath0652.20014OpenAlexW1977782806MaRDI QIDQ1106940

Ji Ping Zhang

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90053-1

zbMATH Keywords

finite simple groupsfinite group\(p\)-blockfull \(p\)-defectivehighest defect

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Finite simple groups and their classification (20D05)

Related Items (4)

p-Regular orbits and p-blocks of defect zero ⋮ On groups with extremal \(p\)-blocks ⋮ Character separation and principal covering. ⋮ Special blocks of finite groups.

Cites Work

• The number of blocks with a given defect group
• On the \(p\)-deficiency class of a finite group
• On the weakly regular \(p\)-blocks with respect to \(O_{p'}(G)\)
• Some applications of the theory of blocks of characters of finite groups. IV
• Characters of Reductive Groups over a Finite Field. (AM-107)
• On groups with extremal blocks
• Brauer correspondence for covering blocks of finite groups
• On Groups All of whose 2-Blocks Have the Highest Defects
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