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Title: Certain one-relator products of groups : Freiheitssatz and non-triviality
Author: Chinyere, Ihechukwu
ISNI:       0000 0004 5993 6428
Awarding Body: Heriot-Watt University
Current Institution: Heriot-Watt University
Date of Award: 2015
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Combinatorial group theory is an aspect of group theory that deals with groups given by presentations. Many techniques both geometric and algebraic are used in tackling problems in this area. In this work, we mostly adopt the geometric approach. In particular we use pictures and clique-pictures to describe various properties of certain one-relator product of groups. These groups are our object of study and they have presentations of the form G=GΛ/N(w) where GΛ is a free product of groups Gλ∈Λ and w is a (cyclically reduced) word in the free product GΛ with length at least two
Supervisor: Howie, Jim Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available