On Consecutive Factors of the Lower Central Series of Right-Angled Coxeter Groups

We study the lower central series of the right-angled Coxeter group \(RC_{\mathcal K}\) and the corresponding associated graded Lie algebra \(L(RC_{\mathcal K})\) and describe the basis of the fourth graded component of \(L(RC_{\mathcal K})\) for any \({\mathcal K}\) .