A Meier-Wunderli theorem for \(H_ p\)-subgroups

DOI10.1007/BF01193989zbMath0544.20023MaRDI QIDQ796638

William F. Cody

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

nilpotency classFrobenius kernelsfinite metabelian groupsHughes conjecture\(H_ p\)-subgroupsregular p-groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Classification of 2-generator finite metabelian p-groups having a proper \(H_ p\)-subgroup, Finite \(p\)-groups, Construction of finite p-groups that admit partitions

Cites Work

• Unnamed Item
• Generalized incidence matrices over group algebras
• The \(H_p\)-problem and the structure of \(H_p\)-groups
• Die Nilpotenz der \(H_ p\)-Gruppen
• On the Hughes conjecture
• More on the Hughes conjecture
• Metabelsche Gruppen
• On minimal irregular p-Groups
• Partial Difference Sets
• Engel margins in metabelian groups
• On the H p -Problem for Finite p-Groups
• Solution of the Hughes Problem for Finite p-Groups of Class 2p - 2
• Endliche Gruppen I