Conjugacy separability of HNN-extensions of abelian groups (Q2365003)
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| Language | Label | Description | Also known as |
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| English | Conjugacy separability of HNN-extensions of abelian groups |
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Conjugacy separability of HNN-extensions of abelian groups (English)
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20 May 1997
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We consider the conjugacy separability of HNN-extensions of abelian groups with cyclic associated subgroups. We show that if either the associated subgroups intersect trivially or the associated subgroups have a common subgroup of the same index then the HNN-extensions are conjugacy separable. Applying this result we completely characterize the conjugacy separability of HNN-extensions of abelian groups with cyclic associated subgroups.
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residually finite groups
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conjugacy separability
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HNN-extensions of Abelian groups
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