Abstract
We study global fixed points for actions of Coxeter groups on nonpositively curved singular spaces. In particular, we consider property , an analogue of Serre’s property FA for actions on complexes. Property has implications for irreducible representations and complex of groups decompositions. In this paper, we give a specific condition on Coxeter presentations that implies and show that this condition is in fact equivalent to for and 2. As part of the proof, we compute the Gersten–Stallings angles between special subgroups of Coxeter groups.
Citation
Angela Kubena Barnhill. "The $\mathrm{FA}_n$ Conjecture for Coxeter groups." Algebr. Geom. Topol. 6 (5) 2117 - 2150, 2006. https://doi.org/10.2140/agt.2006.6.2117
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