Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.719577 |
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Title: | On a family of quotients of the von Dyck groups | ||||||
Author: | Dennis, Mark |
ISNI:
0000 0004 6351 6338
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Awarding Body: | University of Nottingham | ||||||
Current Institution: | University of Nottingham | ||||||
Date of Award: | 2017 | ||||||
Availability of Full Text: |
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Abstract: | |||||||
In this publication, we investigate the groups H(m, n, p, q |k) defined by the presentation < x, y|x^m, y^n, (xy)^p, (xy^k)^q > and determine finiteness and infiniteness for these parameters as far as possible using geometric arguments, principally through pictures and curvature. We state and subsequently prove theorems relating to infiniteness, and also discuss troublesome cases where spherical pictures may arise. We also provide a list of known finite groups and unresolved cases in Appendix A.
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Supervisor: | Not available | Sponsor: | Not available | ||||
Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
EThOS ID: | uk.bl.ethos.719577 | DOI: | Not available | ||||
Keywords: | QA150 Algebra | ||||||
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