H.N.N. extensions of a free group by Z which are subgroup separable
H.N.N. extensions of a free group by Z which are subgroup separable
Using ideas based on a paper by Brunner, Burns, and Solitar [1] we find sufficient conditions on a pair of infinite cyclic subgroups of a free group, so that the H.N.N. extension which associates the two subgroups is subgroup separable. In particular this gives yet another proof that surface groups are subgroup separable. To simplify record keeping in the proofs, topology is used in place of the idea of an abstract cress which was the key to the result in [1].
18-32
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
July 1990
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Niblo, Graham A.
(1990)
H.N.N. extensions of a free group by Z which are subgroup separable.
Proceedings of the London Mathematical Society, .
(doi:10.1112/plms/s3-61.1.18).
Abstract
Using ideas based on a paper by Brunner, Burns, and Solitar [1] we find sufficient conditions on a pair of infinite cyclic subgroups of a free group, so that the H.N.N. extension which associates the two subgroups is subgroup separable. In particular this gives yet another proof that surface groups are subgroup separable. To simplify record keeping in the proofs, topology is used in place of the idea of an abstract cress which was the key to the result in [1].
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Published date: July 1990
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Local EPrints ID: 446603
URI: http://eprints.soton.ac.uk/id/eprint/446603
ISSN: 0024-6115
PURE UUID: 42065ca0-da6d-4634-9cb9-a7882c6525ae
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Date deposited: 16 Feb 2021 17:31
Last modified: 17 Mar 2024 02:39
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