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Sbornik: Mathematics, 2016, Volume 207, Issue 11, Pages 1582–1600
DOI: https://doi.org/10.1070/SM8701 (Mi sm8701) 		 
This article is cited in 22 scientific papers (total in 22 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
English version PDF (551 kB) Citations (22)
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DOI: https://doi.org/10.1070/SM8701
Abstract: 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.
Keywords: right-angled Artin group, right-angled Coxeter group, graph product, commutator subgroup, polyhedral product.
Funding agency Grant number
Russian Science Foundation 14-50-00150
Russian Foundation for Basic Research 14-01-00537-а
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).
Received: 20.03.2016 and 09.08.2016
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 11, Pages 105–126
DOI: https://doi.org/10.4213/sm8701
Bibliographic databases:
Document Type: Article
UDC: 512.54+515.14+515.16
MSC: 20F65, 20F12, 57M07
Language: English
Original paper language: Russian
Citation: 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
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:53
    First page:29
     
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