The conjugacy problem for Coxeter groups

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Convex cocompactness in pseudo-Riemannian hyperbolic spaces (2017, unknown): “It is a deformation of the well-known geometric representation due to Tits (see Krammer [37]).”
Minimal length elements of extended affine Weyl groups (2011, background): “Following [19], we call an element w̃ ∈ W̃ a straight element if for any m ∈ N, l(w̃δ(w̃) · · · δ(w̃)) = ml(w̃).”
Simplicity and superrigidity of twin building lattices (2006, background): “a Coxeter system. Given a subset R of W, we denote by Pc(R) the parabolic closure of R, namely the intersection of all parabolic subgroups of W containing R. This notion is deﬁned in D. Krammer’s PhD [Kra94]. It is itself a parabolic subgroup which can be characterized geometrically as follows. Let ”
Rank-One Isometries of Buildings and Quasi-Morphisms of Kac–Moody Groups (2008, background): “This allows one to define the parabolic closure Pc(R) of a subset R ⊂ W : it is the smallest parabolic subgroup of W containing R (see [ Kr ]).”
Powers of Coxeter elements in infinite groups are reduced (2007, background): “Daan Krammer helped guide me through the results of [8].”
The Geometry and Topology of Coxeter Groups (2025, background): “Following [181], for any subset X ⊂ W, define its parabolic closure, Pc(X), to be the smallest parabolic subgroup containing X.”