Nonpositive Curvature and Reflection Groups

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Hyperbolic Coxeter groups of large dimension (2003, background): “We present the necessary material concisely, since all of it is well documented in the literature, see for example [D2].”
Weighted L 2 -cohomology of Coxeter groups (2004, background): “Z. (b) The cohomology with compact supports of U can be computed as in Davis [15].”
The Geometry and Topology of Coxeter Groups (2025, background): “For other expositions of the general theory of nonpositively curved polyhedra and spaces, see [1, 14, 45, 78, 90] and Ballman’s article [138, pp.”
On Algebraic and Geometric Dimensions for Groups with Torsion (2001, background): “Since D(G,V ) is simply-connected and locally CAT(0), it follows that D(G,V ) is CAT(0) ([10] or [7, Theorem II.”
Special Cube Complexes (2008, background): “Recall that a subcomplex C ⊂ D of a simplicial complex is full if any simplex of D whose vertices are in C is in fact entirely contained in C.”
Right-angled Artin groups are commensurable with right-angled Coxeter groups (2000, background): “Somewhat earlier, a similar result had been proved for right-angled Coxeter groups in [7]: such a Coxeter group acts cocompactly and isometrically on a CAT(0) cubical complex (see [5, 6 ]).”