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math.GT2019
Subgroups of right-angled Coxeter groups via Stallings-like techniques
Pallavi Dani, Ivan Levcovitz
We associate cube complexes called completions to each subgroup of a right-angled Coxeter group (RACG). A completion characterizes many properties of the subgroup such as whether i…
math.GT2019
Right-angled Coxeter groups with non-planar boundary
Pallavi Dani, Matthew Haulmark, Genevieve Walsh
We investigate the planarity of the boundaries of right-angled Coxeter groups. We show that non-planarity of the defining graph does not necessarily imply non-planarity of every bo…