Acta Mathematica Hungarica
Volume/Issue:
Volume 134: Issue 1-2
A note on finite groups in which c-permutability is transitive
Authors:
Khaled A. Al-Sharo Department of Mathematics, AL al-Bayt University, Mafraq, Jordane-mail: email>sharo_kh@yahoo.com

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and
Ibrahim A. I. Suleiman Department of Mathematics & Statistics, Mutah University, Karak, Jordan

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Pages:
162–168
Online Publication Date:
20 Jul 2011
Publication Date:
01 Jan 2012
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-011-0132-0
Keywords:
permutable; PT-group; finite solvable group; 20D10; 20D20; 20D35
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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.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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