Use this URL to cite or link to this record in EThOS:  https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.529184 
Title:  Epimorphisms between groups given by means of generators and defining relations  
Author:  Vella, Alfred Dominic 
ISNI:
0000 0004 2698 5899


Awarding Body:  Open University  
Current Institution:  Open University  
Date of Award:  1977  
Availability of Full Text: 


Abstract:  
Chapter One is expository. In Chapter Two we consider the following questions. Let G = < X ; R >.
Is G Hopfian? Is Aut(G) finitely generated? Is there an algorithm to decide for any two words W_{1},W_{2} in X whether or not {W_{1},W_{2}} generates G? Let J be a set of group presentations. Is there an algorithm to decide whether or not two elements of J define isomorphic groups? The study of these questions concerns the study of ependomorphisms between groups given by means of generators and defining relations. They have been considered by Pride in cases when G is a onerelator group with torsion. Using methods similar to those of Pride we obtain positive results for certain other groups particularly small cancellation groups. A problem related to Hopficity (stability) is also studied in Chapter Two. In Chapter Three we study two questions. The first is. Let G= 

Supervisor:  Not available  Sponsor:  Not available  
Qualification Name:  Thesis (Ph.D.)  Qualification Level:  Doctoral  
EThOS ID:  uk.bl.ethos.529184  DOI:  
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