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ISSN 1088-6850(e) ISSN 0002-9947(p)

Rigidity of Coxeter groups

Author(s): Stratos Prassidis; Barry Spieler
Journal: Trans. Amer. Math. Soc. 352 (2000), 2619-2642.
MSC (1991): Primary 57S25, 57N70, 20F55, 57S30
Posted: March 7, 2000
MathSciNet review: 1695035
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Abstract: Let be a Coxeter group acting properly discontinuously and cocompactly on manifolds and $M ({\partial}M = {\emptyset})$ such that the fixed point sets of finite subgroups are contractible. Let $f: (N, {\partial}N) \to (M{\times}D^k, M{\times}S^{k-1})$ be a -homotopy equivalence which restricts to a -homeomorphism on the boundary. Under an assumption on the three dimensional fixed point sets, we show that then is -homotopic to a -homeomorphism.

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