Title page for ETD etd-12082003-113057

Type of Document Master's Thesis
Author Hair, Steven
Author's Email Address shair@math.vt.edu
URN etd-12082003-113057
Title New Methods for Finding Non-Left-Orderable and Unique Product Groups
Degree Master of Science
Department Mathematics
Advisory Committee
Advisor Name Title
Linnell, Peter A. Committee Chair
Farkas, Daniel R. Committee Member
Haskell, Peter E. Committee Member
  • Fuchsian
  • unique product
  • Fibonacci
  • left-orderable
  • Kleinian
Date of Defense 2003-12-04
Availability unrestricted
In this paper, we present techniques for proving a group to be non-left-orderable or a unique product group. These methods involve the existence of a mapping from the group to R which obeys a left-multiplication criterion. By determining the existence or non-existence of such a mapping, the desired information about the group can be concluded. As examples, we apply this technique to groups of transformations in hyperbolic 2- and 3- space, and Fibonacci groups.
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