Conjugacy separability of certain torsion groups (Q1358284)
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scientific article; zbMATH DE number 1028215
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conjugacy separability of certain torsion groups |
scientific article; zbMATH DE number 1028215 |
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Conjugacy separability of certain torsion groups (English)
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6 July 1997
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A group \(G\) is called conjugacy separable if for every pair \(g,h\) of elements of \(G\) which are not conjugate there is a finite quotient group of \(G\) in which the images of \(g,h\) fail to be conjugate. The authors show that certain torsion groups studied by Grigorchuk and by N. Gupta and Sidki are conjugacy separable. Also conditions are found when all groups in a given class \(K\) are conjugacy separable.
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wreath products
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residually finite groups
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conjugacy separable groups
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finite quotient groups
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torsion groups
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