Closed subclasses of \(M\)-groups (Q1185944)
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scientific article; zbMATH DE number 35996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Closed subclasses of \(M\)-groups |
scientific article; zbMATH DE number 35996 |
Statements
Closed subclasses of \(M\)-groups (English)
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28 June 1992
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The class of groups all of whose subgroups are \(M\)-groups is considered. It is shown that the subclass of these groups with Sylow \(p\)-subgroups of class at most 2 is a formation. An example (with Sylow 2-subgroup of class 3) is constructed to show that the class itself is not a formation.
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\(M\)-groups
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Sylow \(p\)-subgroups
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formation
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