On \(T^*\)-groups
type: Item
instance of: scholarly article
title: On \(T^*\)-groups
zbMATH Open document ID: 0930.20022
DOI: 10.1023/A:1006563901921
published in: Acta Mathematica Hungarica
publication date: 1999-10-31T00:00:00Z
review text: Let \(G\) be a finite group and assume \(H\triangleleft K\triangleleft G\) always implies that \(H\) is \(\pi\)-quasinormal in \(G\). Such a group is called \(T^*\)-group. The authors study finite solvable \(T^*\)-groups. They give several characterizations of such groups. They prove among others that the \(T^*\) property is inherited to all subgroups and give sufficient conditions for \(G\) to be \(T^*\) provided that \(G/H\) is solvable \(T^*\).
reviewed by: Piroska Lakatos
Mathematics Subject Classification ID: 20D35
Mathematics Subject Classification ID: 20D10
Mathematics Subject Classification ID: 20D40
zbMATH DE Number: 1355166
zbMATH Keywords: \(\pi\)-quasinormal subgroups
zbMATH Keywords: finite solvable \(T^*\)-groups
author: M. Asaad
author: Piroska Csörgő
MaRDI profile type: Publication
full work available at URL: a:1006563901921
OpenAlex ID: W1770685081
description: scientific article; zbMATH DE number 1355166