On consecutive factors of the lower central series of right-angled Coxeter groups

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Autores principales: Veryovkin, Yakov, Rahmatullaev, Temur
Formato: Preprint
Publicado: 2025
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author Veryovkin, Yakov
Rahmatullaev, Temur
author_facet Veryovkin, Yakov
Rahmatullaev, Temur
contents 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 $\mathcal K$.
format Preprint
id arxiv_https___arxiv_org_abs_2504_10736
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On consecutive factors of the lower central series of right-angled Coxeter groups
Veryovkin, Yakov
Rahmatullaev, Temur
Group Theory
Representation Theory
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 $\mathcal K$.
title On consecutive factors of the lower central series of right-angled Coxeter groups
topic Group Theory
Representation Theory
url https://arxiv.org/abs/2504.10736