The structure of finite groups in which permutability is a transitive relation

Authors
Robinson, DJS
Citation
Djs. Robinson, The structure of finite groups in which permutability is a transitive relation, J AUS MAT A, 70, 2001, pp. 143-159
Citations number
16
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115 → ACNP
Volume
70
Year of publication
2001
Part
2
Pages
143 - 159
Database
ISI
SICI code
0263-6115(200104)70:<143:TSOFGI>2.0.ZU;2-R
Abstract
The structure of finite groups in which permutability is transitive (PT-gro ups) is studied in detail. In particular a finite PT-group has simple chief factors and the p-chief factors fall into at most two isomorphism classes. The structure of finite T-groups, that is, groups in which normality is tr ansitive, is also discussed, as is that of groups generated by subnormal or normal PT-subgroups.