A note on saturated formations (Q757585)
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scientific article; zbMATH DE number 4191980
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on saturated formations |
scientific article; zbMATH DE number 4191980 |
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A note on saturated formations (English)
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1992
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We describe the subgroup-closed saturated formations \({\mathfrak F}\) of finite soluble groups, containing the class \({\mathfrak N}\) of all nilpotent groups, enjoying the following property: If H and K are two \({\mathfrak F}\)- subnormal \({\mathfrak F}\)-subgroups of a finite soluble group \(G=HK\), then G is an \({\mathfrak F}\)-group.
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subgroup-closed saturated formations
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finite soluble groups
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nilpotent groups
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\({\mathfrak F}\)-subnormal \({\mathfrak F}\)-subgroups
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