Finite \(p\)-groups all of whose \(d\)-generated subgroups are powerful.
From MaRDI portal
Publication:471903
DOI10.1016/j.jalgebra.2014.09.014zbMath1310.20021OpenAlexW2059051166MaRDI QIDQ471903
Publication date: 17 November 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.09.014
finite \(p\)-groupsnumbers of generatorspro-\(p\)-groupspowerful \(p\)-groupsdually strongly balanced \(p\)-groupsminimal non-powerful \(p\)-groups
Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15) Limits, profinite groups (20E18)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- A characterization of powerful \(p\)-groups.
- On the rank of compact \(p\)-adic Lie groups.
- Powerful \(p\)-groups. I: Finite groups.
- Pro-\(p\) groups with constant generating number on open subgroups.
- Finite groups with \(L\)-free lattices of subgroups.
- Finite \(p\)-groups all of whose non-Abelian proper subgroups are generated by two elements.
- Pro-\(p\) groups of rank 3 and the question of Iwasawa.
- Subgroups of powerful groups.
- Analytic pro-\(p\) groups and their Lie algebras
- Subgroup lattices of groups
- Gruppi finiti minimali non modulari
- Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
- A CHARACTERIZATION OF UNIFORM PRO-p GROUPS
- Bloch–Kato pro-p groups and locally powerful groups
- On the power structure of powerful p-groups
- Minimal nonmodular finite p-groups
- A Contribution to the Theory of Groups of Prime-Power Order
- Finite groups with globally permutable lattice of subgroups
- The Minimum Number of Generators of a Finite p -Group
This page was built for publication: Finite \(p\)-groups all of whose \(d\)-generated subgroups are powerful.
