Williams, Gerald and Bogley, William A and Edjvet, Martin (2019) Aspherical Relative Presentations All Over Again. In: Groups St Andrews 2017 in Birmingham. London Mathematical Society Lecture Note Series . Cambridge University Press, pp. 169-199. ISBN 9781108728744. Official URL: http://doi.org/10.1017/9781108692397.008
Williams, Gerald and Bogley, William A and Edjvet, Martin (2019) Aspherical Relative Presentations All Over Again. In: Groups St Andrews 2017 in Birmingham. London Mathematical Society Lecture Note Series . Cambridge University Press, pp. 169-199. ISBN 9781108728744. Official URL: http://doi.org/10.1017/9781108692397.008
Williams, Gerald and Bogley, William A and Edjvet, Martin (2019) Aspherical Relative Presentations All Over Again. In: Groups St Andrews 2017 in Birmingham. London Mathematical Society Lecture Note Series . Cambridge University Press, pp. 169-199. ISBN 9781108728744. Official URL: http://doi.org/10.1017/9781108692397.008
Abstract
The concept of asphericity for relative group presentations was introduced twenty five years ago. Since then, the subject has advanced and detailed asphericity classifications have been obtained for various families of one-relator relative presentations. Through this work the definition of asphericity has evolved and new applications have emerged. In this article we bring together key results on relative asphericity, update them, and exhibit them under a single set of definitions and terminology. We describe consequences of asphericity and present techniques for proving asphericity and for proving non-asphericity. We give a detailed survey of results concerning one-relator relative presentations where the relator has free product length four.
Item Type: | Book Section |
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Uncontrolled Keywords: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 18 Jan 2019 09:49 |
Last Modified: | 16 May 2024 19:40 |
URI: | http://repository.essex.ac.uk/id/eprint/23845 |
Available files
Filename: 1809.03460.pdf