24 citations · 35 across the 6 of their papers we have counts for
6 papers
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…
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…
The Lie algebra associated with the lower central series of a right-angled Coxeter group
Yakov Veryovkin
We study the lower central series of a right-angled Coxeter group and the associated Lie algebra . The latter is related to the graph Lie algebra . We give an…
On the commutator subgroup of a right-angled Artin group
Taras Panov, Yakov Veryovkin
We use polyhedral product models to analyse the structure of the commutator subgroup of a right-angled Artin group. In particular, we provide a minimal set of generators for the co…
Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
Taras Panov, Yakov Veryovkin
We construct and study polyhedral product models for classifying spaces of right-angled Artin and Coxeter groups, general graph product groups and their commutator subgroups. By wa…
Pontryagin algebras of some moment-angle-complexes
Yakov Veryovkin
We consider the problem of describing the Pontryagin algebra (loop homology) of moment-angle complexes and manifolds. The moment-angle complex Z_K is a cell complex built of produc…