6 papers · 1 filter
Hyperbolic models and stability recognition for Coxeter groups
Christopher H. Cashen, Michelle Chu, Jing Tao
Given a finite rank Coxeter system, we construct a hyperbolic space by coning off the wide parabolic subcomplexes of its Davis complex. The resulting space is `stability recognizin…
Biggs tree groups
Christopher H. Cashen
Biggs gave an explicit construction, using finite colored trees, of finite permutation groups whose Cayley graphs have valence \(C\) and girth tending to infinity as the radius \(R…
Conformal dimension bounds, Pontryagin sphere boundaries, and algebraic fibering of right-angled Coxeter groups
Christopher H. Cashen, Pallavi Dani, Kevin Schreve +1
We introduce a graph-theoretic condition, called --branching, that ensures a combinatorial round tree with controlled branching parameters can be quasi-isometrically embedde…
RAAGedy right-angled Coxeter groups
Christopher H. Cashen, Pallavi Dani, Alexandra Edletzberger +1
We give criteria for deciding whether or not a triangle-free simple graph is the presentation graph of a right-angled Coxeter group that is quasiisometric to some right-angled Arti…
RAAGedy right-angled Coxeter groups II: in the quasiisometry class of the tree RAAGs
Christopher H. Cashen
We classify two-dimensional right-angled Coxeter groups that are quasiisometric to a right-angled Artin group defined by a tree, and show that when this is true the right-angled Co…
Visual right-angled Artin subgroups of two-dimensional right-angled Coxeter groups
Christopher H. Cashen, Alexandra Edletzberger
There is a procedure, due to Dani and Levcovitz, for taking a finite simplicial graph (Î) and a subgraph (Î) of its complement, checking some conditions, and, if satisfied, produ…