The power structure of locally nilpotent \({p}\)-groups

DOI10.1007/s00013-016-1000-5zbMath1362.20029OpenAlexW2559687994MaRDI QIDQ515520

Wei Zhou, Heng Lv, Gui-Yun Chen

Publication date: 16 March 2017

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

Full work available at URL: https://doi.org/10.1007/s00013-016-1000-5

zbMATH Keywords

Černikov groupdivisible abelian \(p\)-grouplocally nilpotent group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Finite nilpotent groups, (p)-groups (20D15) Local properties of groups (20E25)

Cites Work

• Groups of prime power order. Vol. 1.
• The power structure of \(p\)-groups. I
• On Abelian subgroups of \(p\)-groups
• On the Automorphism Group of a Nilpotent p -Group
• A dual approach to Černikov modules
• On the structure of groups with all subgroups subnormal
• On Hypercentral GroupsGWith |G:Gⁿ|<∞
• A Property of Locally Finite Groups
• Endliche Gruppen I
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