On a family of quotients of the von Dyck groups

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Dennis, Mark (2017) On a family of quotients of the von Dyck groups. PhD thesis, University of Nottingham.

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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.

Item Type: Thesis (University of Nottingham only) (PhD)
Supervisors: Edjvet, Martin
Pumpluen, S.
Subjects: Q Science > QA Mathematics > QA150 Algebra
Faculties/Schools: UK Campuses > Faculty of Science > School of Mathematical Sciences
Item ID: 41835
Depositing User: Dennis, Mark
Date Deposited: 12 Jul 2017 04:40
Last Modified: 05 Mar 2018 11:32
URI: https://eprints.nottingham.ac.uk/id/eprint/41835

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