Fixed-point-free actions of Coxeter groups on three-dimensional CAT(0) cell complexes

A group W is said to have property FA_n if every action of W by isometries on an n-dimensional CAT(0) cell complex has a global fixed point. We construct a complex on which a Coxeter group W acts by cellular isometries without global fixed points, and show that under certain combinatorial condition...

Full description

Bibliographic Details
Main Author: Patterson, Cody Lynn
Format: Others
Language:English
Published: 2010
Subjects:
Online Access:http://hdl.handle.net/2152/ETD-UT-2010-05-1330