RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Mat. Sb., 2016, Volume 207, Number 11, Pages 105–126 (Mi msb8701)  

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

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).

Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/sm8701

Full text: PDF file (819 kB)
References: PDF file   HTML file

English version:
Sbornik: Mathematics, 2016, 207:11, 1582–1600

Bibliographic databases:

UDC: 512.54+515.14+515.16
MSC: 20F65, 20F12, 57M07
Received: 20.03.2016 and 09.08.2016

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
\Bibitem{PanVer16}
\by T.~E.~Panov, Ya.~A.~Veryovkin
\paper Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
\jour Mat. Sb.
\yr 2016
\vol 207
\issue 11
\pages 105--126
\mathnet{http://mi.mathnet.ru/msb8701}
\crossref{https://doi.org/10.4213/sm8701}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3588981}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2016SbMat.207.1582P}
\elib{https://elibrary.ru/item.asp?id=27350066}
\transl
\jour Sb. Math.
\yr 2016
\vol 207
\issue 11
\pages 1582--1600
\crossref{https://doi.org/10.1070/SM8701}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000393619200005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85011573195}


Linking options:
  • http://mi.mathnet.ru/eng/msb8701
  • https://doi.org/10.4213/sm8701
  • http://mi.mathnet.ru/eng/msb/v207/i11/p105

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. A. Gaifullin, “Small covers of graph-associahedra and realization of cycles”, Sb. Math., 207:11 (2016), 1537–1561  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. V. M. Buchstaber, N. Yu. Erokhovets, M. Masuda, T. E. Panov, S. Park, “Cohomological rigidity of manifolds defined by 3-dimensional polytopes”, Russian Math. Surveys, 72:2 (2017), 199–256  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. M. Stafa, “Polyhedral products, flag complexes and monodromy representations”, Topology Appl., 244 (2018), 12–30  crossref  mathscinet  zmath  isi  scopus
    4. Panov T., Veryovkin Ya., “On the Commutator Subgroup of a Right-Angled Artin Group”, J. Algebra, 521 (2019), 284–298  crossref  mathscinet  zmath  isi
    5. Panov T., Theriault S., “The Homotopy Theory of Polyhedral Products Associated With Flag Complexes”, Compos. Math., 155:1 (2019), 206–228  crossref  mathscinet  zmath  isi
    6. Dey S. Gongopadhyay K., “Commutator Subgroups of Twin Groups and Grothendieck'S Cartographical Groups”, J. Algebra, 530 (2019), 215–234  crossref  mathscinet  zmath  isi
    7. V. M. Buchstaber, I. Yu. Limonchenko, “Massey products, toric topology and combinatorics of polytopes”, Izv. Math., 83:6 (2019), 1081–1136  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    8. Ya. A. Veryovkin, “The Associated Lie Algebra of a Right-Angled Coxeter Group”, Proc. Steklov Inst. Math., 305 (2019), 53–62  mathnet  crossref  crossref  isi  elib
    9. Kishimoto D., “Right-Angled Coxeter Quandles and Polyhedral Products”, Proc. Amer. Math. Soc., 147:9 (2019), 3715–3727  crossref  mathscinet  zmath  isi
  • Математический сборник Sbornik: Mathematics (from 1967)
    Number of views:
    This page:326
    Full text:21
    References:39
    First page:27

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020