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Conjugacy separability of HNN-extensions of abelian groups

โœ Scribed by Goansu Kim; C. Y. Tang

Publisher
Springer
Year
1996
Tongue
English
Weight
472 KB
Volume
67
Category
Article
ISSN
0003-889X

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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

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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, "Comb