On p-nilpotence and ICΦ -subgroups of finite groups

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

A subgroup H of a group G is said to be an ICΦ -subgroup of G if H∩ [H, G] ≤ Φ (H). We prove the p-nilpotency of a finite group G under the assumption that certain p-subgroups of G are ICΦ -subgroups of G. Our main result generalizes and extends some recent work of Gao and Li [1].

Details

Original languageEnglish
Pages (from-to)355-359
Number of pages5
JournalActa Mathematica Hungarica
Volume165
Issue number2
Publication statusPublished - 3 Sept 2021
Peer-reviewedYes

External IDs

Scopus 85114141553
Mendeley 2903a25f-2d3d-33b2-8eb4-9e3ac55c4dcb

Keywords

DFG Classification of Subject Areas according to Review Boards

Subject groups, research areas, subject areas according to Destatis

Library keywords