We study the lower central series of a right-angled Coxeter group $RC_K$ and the associated Lie algebra $L(RC_K)$. The latter is related to the graph Lie algebra $L_K$. We give an explicit combinatorial description of the first three consecutive factors of the lower central series of the group $RC_K$.
Graded components of the Lie algebra associated with the lower central series of a right-angled Coxeter group
The commutator subalgebra of the Lie algebra associated with a right-angled Coxeter group
Polyhedral products, and relations in the commutator subgroup of a right-angled Coxeter group
![QR code for arXiv:1901.06929 [math.GR]](http://oss.arxitics.com/images/favicon.svg)