Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups

DOI10.1070/SM8701zbMath1397.20040arXiv1603.06902MaRDI QIDQ2971425

Taras E.Panov, Ya. A. Veryovkin

Publication date: 5 April 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06902

zbMATH Keywords

polyhedral productright-angled Artin groupright-angled Coxeter groupcommutator subgroupgraph product

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Commutator calculus (20F12)

Related Items (18)

Polyhedral products, flag complexes and monodromy representations ⋮ Higher order Massey products and applications ⋮ Commutator subgroups of twin groups and Grothendieck's cartographical groups ⋮ Zoo of monotone Lagrangians in \(\mathbb{C}P^n\) ⋮ Amenable covers of right‐angled Artin groups ⋮ Cohomological rigidity of manifolds defined by 3-dimensional polytopes ⋮ Theory of families of polytopes: fullerenes and Pogorelov polytopes ⋮ On the commutator subgroup of a right-angled Artin group ⋮ The associated Lie algebra of a right-angled Coxeter group ⋮ Massey products, toric topology and combinatorics of polytopes ⋮ The homotopy theory of polyhedral products associated with flag complexes ⋮ Right-angled Coxeter quandles and polyhedral products ⋮ Pontryagin algebras and the LS-category of moment-angle complexes in the flag case ⋮ Equivariant cohomology of moment-angle complexes with respect to coordinate subtori ⋮ Polyhedral products for connected sums of simplicial complexes ⋮ Graded components of the Lie algebra associated with the lower central series of a right-angled Coxeter group ⋮ One-relator groups and algebras related to polyhedral products ⋮ Toric objects associated with the dodecahedron

This page was built for publication: Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups