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Theses & Dissertations


Bell, Gregory


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TitleDateViewsBrief Description
Asymptotic dimension and asymptotic property 2011 455 This thesis will be concerned with the study of some ``large-scale'' properties of metric spaces. This area evolved from the study of geometric group theory. Chapter 1 lays out some of the fundamental notions of geometric g...
On characterizing pairs of permutations in determining their generated group 2013 291 Among the unsolved problems in mathematics listed on Wolfram Mathworld's website is finding a formula for the probability that two permutations chosen at random generate the symmetric group. We show that two permutations of order two cannot generate ...