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

T. E. Panov   ; Ya. A. Veryovkin

Sbornik. Mathematics, Tome 207 (2016) no. 11, pp. 1582-1600

Résumé

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 way of application, we give a criterion for the commutator subgroup of a graph product group to be free, and provide an explicit minimal set of generators for the commutator subgroup of a right-angled Coxeter group. Bibliography: 21 titles.

Détail

Keywords: right-angled Artin group, right-angled Coxeter group, graph product, commutator subgroup, polyhedral product.

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