 

Gábor Moussong and Stratos Prassidis
Equivariant rigidity theorems


Published: 
April 28, 2004

Keywords: 
Coxeter groups, reflection groups, topological rigidity 
Subject: 
Primary 57S30; Secondary 20F55, 57N99, 57S25 


Abstract
Let Γ be a discrete group which is a split extension of a group Δ by a
Coxeter group W, with Δ acting on W by Coxeter graph automorphisms with kernel
Δ_{0}.
Let M_{i}, i = 1,2, be two Γmanifolds (possibly with boundary)
such that the isotropy groups are finite and the fixed point sets are contractible and W
acts by reflections. Let
f be a Γhomotopy equivalence between them that it is a homeomorphism outside the
orbit of a compact subset. Then f is Γhomotopic to a Γhomeomorphism,
provided that certain finite extensions
of Δ_{0} that fix the faces of the fundamental domains are topologically rigid groups.


Acknowledgements
The first author was partially supported by Hungarian Nat. Found. for Sci. Research Grant T032478.


Author information
Gábor Moussong:
Department of Geometry, Eötvös Loránd University, P. O. Box 120 Budapest, Hungary H1518
mg@math.elte.hu
Stratos Prassidis:
Department of Mathematics {&} Statistics, Canisius College, Buffalo, NY 14208
prasside@canisius.edu

