Subgroups of powerful groups.

DOI10.1007/BF02783416zbMath1053.20019MaRDI QIDQ1425638

Avinoam Mann, Fania Posnick-Fradkin

Publication date: 17 March 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite \(p\)-groupsnormal subgroupscyclic commutator subgroup2-generator \(p\)-groupssubgroups of powerful \(p\)-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Finite nilpotent groups, (p)-groups (20D15) Commutator calculus (20F12)

Related Items (7)

An upper bound for the index of the center in capable groups with finite cyclic derived subgroups ⋮ Subgroups of powerful groups. ⋮ Finite \(p\)-groups all of whose \(d\)-generated subgroups are powerful. ⋮ On \(p\)-saturable groups. ⋮ On essential cohomology of powerful p -groups ⋮ Omegas of agemos in powerful groups ⋮ Quasi-powerful \(p\)-groups

Cites Work

• Unnamed Item
• Powerful \(p\)-groups. I: Finite groups.
• Omega subgroups of powerful \(p\)-groups.
• On finite \(p\)-groups with cyclic commutator subgroup
• Regular p-groups. III
• Subgroups of powerful groups.
• On the structure of normal subgroups of potent \(p\)-groups.
• Generalizations of Certain Elementary Theorems on p -Groups
• On the power structure of powerful p-groups
• Endliche Gruppen I

This page was built for publication: Subgroups of powerful groups.