2001
DOI: 10.1006/jabr.2001.8910
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Subgroup Separability of HNN-Extensions with Abelian Base Group

Abstract: 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

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Cited by 8 publications
(10 citation statements)
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“…Niblo and Wise in [14] show that the fundamental group of a graph manifold is subgroup separable if and only if it does not contain a subgroup isomorphic to L. The group L seems to be the key point for the results of the present paper also. In fact, summarising the results of the present work together with the results of [12], we have shown the following.…”
Section: Introductionsupporting
confidence: 68%
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“…Niblo and Wise in [14] show that the fundamental group of a graph manifold is subgroup separable if and only if it does not contain a subgroup isomorphic to L. The group L seems to be the key point for the results of the present paper also. In fact, summarising the results of the present work together with the results of [12], we have shown the following.…”
Section: Introductionsupporting
confidence: 68%
“…Use induction on the number n of edges X contains. If n = 1 the result is immediate from Theorem 2 in [12].…”
Section: −1mentioning
confidence: 87%
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