Logan, A. D. (2016) The JSJ-decompositions of one-relator groups with torsion. Geometriae Dedicata, 180(1), pp. 171-185. (doi: 10.1007/s10711-015-0097-1)
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Abstract
In this paper we use JSJ-decompositions to formalise a folk conjecture recorded by Pride on the structure of one-relator groups with torsion. We prove a slightly weaker version of the conjecture, which implies that the structure of one-relator groups with torsion closely resemble the structure of torsion-free hyperbolic groups.
| Item Type: | Articles |
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| 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: | Geometriae Dedicata |
| Publisher: | Springer Netherlands |
| ISSN: | 0046-5755 |
| ISSN (Online): | 1572-9168 |
| Published Online: | 25 June 2015 |
| Copyright Holders: | Copyright © 2016 Springer Science+Business Media Dordrech |
| First Published: | First published in Geometriae Dedicata 180(1):171-185 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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