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

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

doi:10.1007/s10474-011-0132-0

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

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

Research output: Contribution to journal › Article › peer-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 ≦ H_pG, where H_pG 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 language	English
Pages (from-to)	162-168
Number of pages	7
Journal	Acta Mathematica Hungarica
Volume	134
Issue number	1-2
DOIs	https://doi.org/10.1007/s10474-011-0132-0
Publication status	Published - Jan 2012
Externally published	Yes

Keywords

c-permutable subgroup
finite solvable group
permutable
PT-group

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s10474-011-0132-0

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AB - 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.

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KW - finite solvable group

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KW - PT-group

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

Abstract

Keywords

ASJC Scopus subject areas

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