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math.GR2025
On consecutive factors of the lower central series of right-angled Coxeter groups
Yakov Veryovkin, Temur Rahmatullaev
We study the lower central series of the right-angled Coxeter group and the corresponding associated graded Lie algebra and describe the basis of…
math.GR2025
The commutator subalgebra of the Lie algebra associated with a right-angled Coxeter group
Fedor Vylegzhanin, Yakov Veryovkin
We study the graded Lie algebra associated with the lower central series of a right-angled Coxeter group. We construct a surjective homomorphism from the polynomial ring…