On a Family of Presentations Generalising Coxeter’s (l,m|n,k)

On a Family of Presentations Generalising Coxeter’s (l,m|n,k)

We study the groups with presentation (l,m|n,k|p,q) := <a,b|a^l ,b^m ,(ab)^n ,(a^p b^q )^k>, in an attempt to characterise which parameter-sets give rise to a finite group, using a combination of geometric and computational methods, along with more elementary presentation manipulation techniqu...

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Bibliographic Details
Main Author: Bennett, E. P.
Format: Thesis (University of Nottingham only)
Language:English
Published: 2021
Subjects:
Combinatorial group theory
finitely presented groups
finiteness
computational algebra
Online Access:https://eprints.nottingham.ac.uk/64841/

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