New Methods for Finding Non-Left-Orderable and Unique Product Groups

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...

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Bibliographic Details
Main Author: Hair, Steven
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2011
Subjects:
Online Access:http://hdl.handle.net/10919/9633
http://scholar.lib.vt.edu/theses/available/etd-12082003-113057