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A characterization of powerful \(p\)-groups.

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Publication:466136
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DOI10.1007/s11856-014-1072-5zbMath1316.20016arXiv1307.0613OpenAlexW2064554920MaRDI QIDQ466136

Amaia Zugadi-Reizabal, Jon González-Sánchez

Publication date: 24 October 2014

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

Full work available at URL: https://arxiv.org/abs/1307.0613

zbMATH Keywords

finite \(p\)-groupsnumbers of generatorsuniform pro-\(p\) groupspowerful \(p\)-groups


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15) Limits, profinite groups (20E18)


Related Items

Finite \(p\)-groups all of whose \(d\)-generated subgroups are powerful.



Cites Work

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  • On \(w\)-maximal groups.
  • Powerful \(p\)-groups. I: Finite groups.
  • Omega subgroups of pro-\(p\) groups.
  • Eine Verallgemeinerung des Regularitätsbegriffes bei p-Gruppen. I
  • The total Stiefel-Whitney class of a regular representation
  • On elements of order \(p\) in powerful \(p\)-groups.
  • On the structure of normal subgroups of potent \(p\)-groups.
  • A replacement theorem for \(p\)-groups and a conjecture
  • A CHARACTERIZATION OF UNIFORM PRO-p GROUPS
  • On the power structure of powerful p-groups
  • The Minimum Number of Generators of a Finite p -Group
  • Endliche Gruppen I
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