A note on finite groups in which c-permutability is transitive

Khaled A. Al-Sharo, Ibrahim A.I. Suleiman

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

A subgroup H of G is c-permutable in G if there exists a permutable subgroup P of G such that HP = G and H ∩ P ≦ HpG, where HpG is the largest permutable subgroup of G contained in H. A group G is called CPT-group if c-permutability is transitive in G. A number of new characterizations of finite solvable CPT-groups are given.

Original languageEnglish
Pages (from-to)162-168
Number of pages7
JournalActa Mathematica Hungarica
Volume134
Issue number1-2
DOIs
Publication statusPublished - Jan 2012
Externally publishedYes

Keywords

  • c-permutable subgroup
  • finite solvable group
  • permutable
  • PT-group

ASJC Scopus subject areas

  • General Mathematics

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