%0 PDF
%T On the Automorphism Groups of Universal Right-Angled Coxeter Groups.
%A Cunningham, Charles.
%8 2017-04-20
%R http://localhost/files/s4655t138
%X Abstract: We investigate the combinatorial and geometric properties of
automorphism groups of universal right-angled Coxeter groups. McCullough-Miller space is
virtually a geometric model for the outer automorphism group of a universal right-angled
Coxeter group, Out(Wn). As it is currently an open question as to whether or not Out(Wn) is
CAT(0) or not, it would be helpful to know whether McCullough-Miller space can always be
equipped with an Out(Wn)-equivariant CAT(0) metric. We show that the answer is in the
negative. This is particularly interesting as there are very few non-trivial examples of
proving that a space of independent interest is not CAT(0). We also show that an otherwise
promising finite index subgroup of Out(Wn) is not a right-angled Coxeter
group.; Thesis (Ph.D.)--Tufts University, 2015.; Submitted to the Dept. of Mathematics.; Advisor: Kim Ruane.; Committee: Ruth Charney, Genevieve Walsh, Mauricio Gutierrez, and Kim
Ruane.; Keyword: Mathematics.
%[ 2022-10-11
%9 Text
%~ Tufts Digital Library
%W Institution