Logan, A. D. (2018) The residual finiteness of (hyperbolic) automorphism-induced HNN-extensions. Communications in Algebra, 46(12), pp. 5399-5402. (doi: 10.1080/00927872.2018.1468904)
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Abstract
We classify finitely generated, residually finite automorphism-induced HNN-extensions in terms of the residual separability of a single associated subgroup. This classification provides a method to construct automorphism-induced HNN-extensions which are not residually finite. We prove that this method can never yield a “new” counter-example to Gromov’s conjecture on the residual finiteness of hyperbolic groups.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Logan, Dr Alan |
| Authors: | Logan, A. D. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Communications in Algebra |
| Publisher: | Taylor & Francis |
| ISSN: | 0092-7872 |
| ISSN (Online): | 1532-4125 |
| Published Online: | 26 July 2018 |
| Copyright Holders: | Copyright © 2018 Informa UK Limited |
| First Published: | First published in Communicating in Algebra 46:5399-5402 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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