| 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 |
| Peter Linnell |
Committee Chair |
| Daniel Farkas |
Committee Member |
| Peter Haskell |
Committee Member |
|
| Keywords |
- Kleinian
- left-orderable
- Fibonacci
- unique product
- Fuchsian
|
| Date of Defense |
2003-12-04 |
| Availability |
unrestricted |
Abstract
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 $\mathbb{R}$ 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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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
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SMHairThesis.pdf |
378.01 Kb |
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