Generators of the Second Homotopy Module of Group Presentations with Applications

Baik, Young-Gheel (1992) Generators of the Second Homotopy Module of Group Presentations with Applications. PhD thesis, University of Glasgow.

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Abstract

The main work of this thesis starts with Chapter 2. The main problems of the thesis are the following (*) and its applications. Let P' be a subpresentation of a group presentation P and X be a set of generators of the second homotopy module pi2(P') of P'. (*) What extra elements are needed to generate pi2(P)? In Chapter 2, we study the answer about (*) when P and P' define the same group, i.e., P is a presentation obtained from P' by a sequence of Tietze transformations. And we also study the relationship between the relation modules of P and P'. In Chapter 3 and 4, we study the answers about (*) when P is (1) a graph product in

Item Type: Thesis (PhD)
Qualification Level: Doctoral
Additional Information: Adviser: S J Pride
Keywords: Mathematics
Date of Award: 1992
Depositing User: Enlighten Team
Unique ID: glathesis:1992-74771
Copyright: Copyright of this thesis is held by the author.
Date Deposited: 27 Sep 2019 16:33
Last Modified: 27 Sep 2019 16:33
URI: http://theses.gla.ac.uk/id/eprint/74771

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