%0 PDF
%T An Introduction to Relatively Hyperbolic Groups
%A Page, Murphy.
%D 2017-10-02T09:12:30.532-04:00
%8 2017-10-02
%R http://localhost/files/t435gq86f
%X Abstract: We look at a few of the various ways in which relatively hyperbolic groups are defined. It has been shown that, if a little care taken with hypotheses, all definitions are equivalent; here we examine the relationship between the definitions using the coned-off Cayley graph and fine $\delta$-hyperbolic graphs. We also go over the definition using geometrically finite convergence groups. Finally, we use the free group $F_2$ as an example of a relatively hyperbolic group to explore the different definitions.; Thesis (M.S.)--Tufts University, 2017.; Submitted to the Dept. of Mathematics.; Advisor: Genevieve Walsh.; Committee: Kim Ruane, and Robert Kropholler.; Keywords: Mathematics, and Theoretical mathematics.
%[ 2018-10-09
%9 Text
%~ Tufts Digital Library
%W Institution