The residual finiteness of (hyperbolic) automorphism-induced HNN-extensions

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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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
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 (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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