On permutable subgroups of soluble minimax groups (Q1062143)
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scientific article; zbMATH DE number 3912614
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On permutable subgroups of soluble minimax groups |
scientific article; zbMATH DE number 3912614 |
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On permutable subgroups of soluble minimax groups (English)
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1985
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A subgroup H of a group is called permutable if \(HK=KH\) for every subgroup K. Also a subgroup of a group G is said to be core-free, if it contains no nontrivial normal subgroups of G. The following result is established. Theorem. A core-free permutable subgroup of a residually finite soluble minimax group is contained in the hypercentre.
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core-free permutable subgroup
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residually finite soluble minimax group
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hypercentre
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