This article is cited in 9 scientific papers (total in 9 papers)
Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
T. E. Panovabc, Ya. A. Veryovkinad
a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b State Scientific Center of the Russian Federation - Institute for Theoretical and Experimental Physics, Moscow
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
d Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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.
right-angled Artin group, right-angled Coxeter group, graph product, commutator subgroup, polyhedral product.
|Russian Science Foundation
|Russian Foundation for Basic Research
|The research of the first author was carried out at the Institute for Information Transmission Problems of Russian Academy of Sciences and was supported by the Russian Science Foundation (grant no. 14-50-00150). The research of the second author was supported by the Russian Foundation for Basic Research (grant no. 14-01-00537-а).
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Sbornik: Mathematics, 2016, 207:11, 1582–1600
MSC: 20F65, 20F12, 57M07
Received: 20.03.2016 and 09.08.2016
T. E. Panov, Ya. A. Veryovkin, “Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups”, Mat. Sb., 207:11 (2016), 105–126; Sb. Math., 207:11 (2016), 1582–1600
Citation in format AMSBIB
\by T.~E.~Panov, Ya.~A.~Veryovkin
\paper Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
\jour Mat. Sb.
\jour Sb. Math.
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