Acta Mathematica Hungarica
Volume/Issue:
Volume 114: Issue 3
Finite groups in which permutability is a transitive relation on their frattini factor groups
Author:
M. Ramadan Faculty of Science, Department of Mathematics, Cairo University, Giza, Egypt

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Pages:
187–193
Online Publication Date:
22 Nov 2006
Publication Date:
01 Mar 2007
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-006-0522-x
Keywords:
finite groups; permutability; subnormality; 20D10; 20D20
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Abstract  

Let G be a finite group. A PT-group is a group G whose subnormal subgroups are all permutable in G. A PST-group is a group G whose subnormal subgroups are all S-permutable in G. We say that G is a PTo-group (respectively, a PSTo-group) if its Frattini quotient group G/Φ(G) is a PT-group (respectively, a PST-group). In this paper, we determine the structure of minimal non-PTo-groups and minimal non-PSTo-groups.

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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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