Tabor groups with finiteness conditions. (Q304011)
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scientific article; zbMATH DE number 6618926
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tabor groups with finiteness conditions. |
scientific article; zbMATH DE number 6618926 |
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Tabor groups with finiteness conditions. (English)
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23 August 2016
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A group \(G\) is called a \textit{Tabor} group if for all \(x,y\in G\) there is an integer \(k>0\) such that \((xy)^{2^k}=x^{2^k}y^{2^k}\). This paper is devoted to the study of torsion Tabor groups. In particular it is proved that if a finite group \(G\) is a Tabor group, then \(G=K\times T\) with \(K\) of odd order and \(T\) a \(2\)-group.
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Tabor groups
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torsion groups
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finite groups
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