A characterisation of powerfully embedded normal subgroups of a \(p\)-group

DOI10.1006/jabr.1996.6846zbMath0879.20017OpenAlexW2081413792MaRDI QIDQ1355519

Kahn, Bruno

Publication date: 26 January 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6846

zbMATH Keywords

\(p\)-groupsFrattini subgrouppowerfully embedded subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Periodic groups; locally finite groups (20F50) Special subgroups (Frattini, Fitting, etc.) (20D25) Nilpotent groups (20F18) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14)

Related Items

On a conjecture of Kahn for the Stiefel-Whitney classes of the regular representation ⋮ A note on \(d \)-maximal \(p \)-groups ⋮ The cohomology of pro-\(p\) groups with a powerfully embedded subgroup.

Cites Work

• Unnamed Item
• Powerful \(p\)-groups. I: Finite groups.
• The total Stiefel-Whitney class of a regular representation
• A cohomological approach to theory of groups of prime power order
• Generalizations of Certain Elementary Theorems on p -Groups
• The Minimum Number of Generators of a Finite p -Group