\(p\)-lengths of \(p\)-radical groups are unbounded

DOI10.1006/JABR.1994.1258zbMATH Open0820.20005OpenAlexW2074948738MaRDI QIDQ1335102

Hiroshi Fukushima

Publication date: 28 September 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1258

zbMATH Keywords

group algebrasfinite groups\(p\)-solvable groupsJacobson radical\(p\)-Sylow subgroups\(p\)-length\(p\)-radical groups

Mathematics Subject Classification ID

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) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Jacobson radical, quasimultiplication (16N20)

Related Items (1)

Principal blocks and p-radical groups

Recommendations

• On bounds for the \(p\)-length of finite \(p\)-soluble groups 👍 👎
• A characterization of \(p\)-radical groups 👍 👎
• Nunke's problem for abelian \(p\)-groups of uncountable length 👍 👎
• The derived length of \(p\)-groups 👍 👎
• A note on bounds of the \(p\)-length of a \(p\)-soluble group 👍 👎
• A BOUND ON THE p-LENGTH OF P-SOLVABLE GROUPS 👍 👎
• $p$-groups have unbounded realization multiplicity 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎

This page was built for publication: \(p\)-lengths of \(p\)-radical groups are unbounded