Infinite soluble groups with the Bell property: A finiteness condition (Q580495)
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scientific article; zbMATH DE number 4017173
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinite soluble groups with the Bell property: A finiteness condition |
scientific article; zbMATH DE number 4017173 |
Statements
Infinite soluble groups with the Bell property: A finiteness condition (English)
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1987
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It is shown that groups satisfying a law \([X^ n,Y]=[X,Y^ n]\) for some positive integer n must also satisfy an Engel-like condition \([X,_ rY]=[X,_{r+d}Y]\). Some further properties of these groups are discussed.
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n-abelian groups
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n-Levi groups
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n-Bell groups
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finiteness conditions
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Engel-like condition
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