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.

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: https://theses.gla.ac.uk/id/eprint/74771