Products of locally supersoluble groups. (Q2856407)
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scientific article; zbMATH DE number 6220486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Products of locally supersoluble groups. |
scientific article; zbMATH DE number 6220486 |
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28 October 2013
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products of groups
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triple factorized groups
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locally supersoluble groups
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FC-hypercentral groups
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Products of locally supersoluble groups. (English)
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It is proved that if the FC-hypercentral group \(G=AB=AC=BC\) is the product of three locally supersoluble subgroups \(A\), \(B\) and \(C\) and the commutator subgroup of \(G\) is nilpotent, then \(G\) is locally supersoluble. Recall that a group \(G\) is FC-hypercentral if every non-trivial epimorphic image of \(G\) contains a non-trivial element with only finitely many conjugates.
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0.8008685111999512
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0.8001947402954102
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