A characterization of soluble groups in which normality is a transitive relation

A subgroup $X$ of‎ ‎a group $G$ is said to be an H-‎subgroup if‎ ‎NG(X) ∩ Xg  ≤ X for each element $g$ belonging to $G$‎. ‎In [M‎. ‎Bianchi and e.a.‎, ‎On finite soluble groups in which normality is a transitive relation‎, J‎. ‎Group Theory, ‎ 3 (2000) 147--156.] the authors showed that finite group...

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Bibliographic Details
Main Author: Giovanni Vincenzi
Format: Article
Language:English
Published: University of Isfahan 2017-03-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://ijgt.ui.ac.ir/article_10890_1b9c272898954a2b55df94ab7233e6e9.pdf