We first prove the double coset separability of certain HNN extensions with cyclic associated subgroups. Using this we prove a criterion for the conjugacy separability of HNN extensions of conjugacy separable groups with cyclic associated subgroups. Applying this result we show that certain HNN exte
Subgroup Separability of HNN-Extensions with Abelian Base Group
β Scribed by V Metaftsis; E Raptis
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 83 KB
- Volume
- 245
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
In the present paper we give a complete characterisation of subgroup separability of HNN-extensions with finitely generated abelian base group. We are also able to characterise subgroup separability for some families of free-by-cyclic groups and thus answer partially a question of Scott (1987, "Combinatorial Group Theory and Topology,"
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