Geodesic
On consecutive factors of the lower central series of right-angled Coxeter groups
Matematičeskie zametki, Tome 116 (2024) no. 1, pp. 10-33

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the lower central series of a 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 ${\mathcal K}$.
Keywords: right-angled Coxeter group, associated graded Lie algebra, graph, lower central series. 
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     author = {Ya. A. Veryovkin and T. A. Rahmatullaev},
     title = {On consecutive factors of the lower central series of right-angled {Coxeter} groups},
     journal = {Matemati\v{c}eskie zametki},
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Ya. A. Veryovkin; T. A. Rahmatullaev. On consecutive factors of the lower central series of right-angled Coxeter groups. Matematičeskie zametki, Tome 116 (2024) no. 1, pp. 10-33. http://geodesic.mathdoc.fr/item/MZM_2024_116_1_a1/