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Title: On a family of quotients of the von Dyck groups
Author: Dennis, Mark
ISNI:       0000 0004 6351 6338
Awarding Body: University of Nottingham
Current Institution: University of Nottingham
Date of Award: 2017
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA150 Algebra