Subgroups of right-angled Coxeter groups via Stallings-like techniques
نویسندگان
چکیده
We associate cube complexes called completions to each subgroup of a right-angled Coxeter group (RACG). A completion characterizes many properties the such as whether it is quasiconvex, normal, finite-index or torsion-free.We use show that reflection subgroups are one-ended 2-dimensional RACG. provide an algorithm determines given one-ended, RACG isomorphic some another In addition, we answer several algorithmic questions regarding quasiconvex subgroups. Finally, give new proof Haglund’s result RACGs separable.
منابع مشابه
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ژورنال
عنوان ژورنال: Journal of combinatorial algebra
سال: 2021
ISSN: ['2415-6302', '2415-6310']
DOI: https://doi.org/10.4171/jca/54