Finite \(p\)-groups whose Abelian subgroups have a trivial intersection.

DOI10.1007/S10114-005-0795-YzbMath1121.20016OpenAlexW2015681235MaRDI QIDQ2641537

Shi-Rong Li, Xiu Yun Guo

Publication date: 20 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0795-y

zbMATH Keywords

finite \(p\)-groupsAbelian subgroupsTI-subgroupstrivial intersection subgroups

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (7)

Finite groups with its power automorphism groups having small indices. ⋮ Finite groups whose Abelian subgroups are TI-subgroups. ⋮ Finite groups with non-nilpotent maximal subgroups. ⋮ Finite nilpotent groups whose cyclic subgroups are TI-subgroups ⋮ Unnamed Item ⋮ On \(s\)-quasinormal and \(c\)-normal subgroups of a finite group. ⋮ Finite groups all of whose Abelian subgroups are QTI-subgroups.

Cites Work

• On two theorems of finite solvable groups.
• Endliche Gruppen I
• A Group-Theoretic Proof of a Theorem of MacLagan-Wedderburn
• The structure of NC-groups
• Unnamed Item
• Unnamed Item

This page was built for publication: Finite \(p\)-groups whose Abelian subgroups have a trivial intersection.