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

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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Beschreibung
Zusammenfassung: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.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM8701