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

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 ex...

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Veröffentlicht in:	Sbornik. Mathematics 2016-01, Vol.207 (11), p.1582-1600
Hauptverfasser:	Panov, T. E., Veryovkin, Ya. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Classification commutator subgroup Commutators Criteria Generators graph product Graphs Mathematical models polyhedral product Product models right-angled Artin group right-angled Coxeter group Subgroups
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creator	Panov, T. E. Veryovkin, Ya. A.
description	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.
doi_str_mv	10.1070/SM8701
format	Article
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subjects	Classification commutator subgroup Commutators Criteria Generators graph product Graphs Mathematical models polyhedral product Product models right-angled Artin group right-angled Coxeter group Subgroups
title	Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
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