On \(T^*\)-groups (Q1307437)
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scientific article; zbMATH DE number 1355166
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(T^*\)-groups |
scientific article; zbMATH DE number 1355166 |
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On \(T^*\)-groups (English)
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31 October 1999
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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 \(T^*\).
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\(\pi\)-quasinormal subgroups
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finite solvable \(T^*\)-groups
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