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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…
math.GR2024
Cartesian subgroups in graph products of groups
Fedor Vylegzhanin
The kernel of the natural projection of a graph product of groups onto their direct product is called the Cartesian subgroup of the graph product. This construction generalises com…