Groups of type \([d\to 3(d-1)]\). (Q910497)
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scientific article; zbMATH DE number 4140034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups of type \([d\to 3(d-1)]\). |
scientific article; zbMATH DE number 4140034 |
Statements
Groups of type \([d\to 3(d-1)]\). (English)
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1991
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Let \(d\) be a fixed integer and \(G\) a group whose \(d\)-generator subgroups are nilpotent of class at most \(3(d-1)\). Then, with a hypothesis on the order of the elements, we prove that \(G\) is nilpotent, of class bounded in terms of \(d\). Examples show that the hypothesis on the order of the elements is necessary.
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\(d\)-generator subgroups
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order
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nilpotent groups
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class
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0.8727155
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0.86943126
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