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Coxeter Groups and the Moussong Complex.

Elder, Murray J (1996) Coxeter Groups and the Moussong Complex. Masters thesis, The University of Melbourne.

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    Abstract

    For any Coxeter Group, we can construct a CAT(0) metric cell complex, on which the group acts co-compactly discretely by isometries. This theorem is due to Moussong, hence the complex is called the Moussong Complex. To understand the theorem, we need to consider some geometry, and find some equivalent characterisations of a space being CAT(κ) for various values of κ ∈ R. We also need some group theory, in particular to consider some special facts about Coxeter Groups. Putting these together will enable us to construct the complex we want.

    Item Type: Thesis (Masters)
    Subjects: 20-xx Group theory and generalizations
    Faculty: UNSPECIFIED
    Depositing User: Dr Murray Elder
    Date Deposited: 17 Sep 2012 10:42
    Last Modified: 17 Sep 2012 10:42
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1212

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