Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




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

Algebra and Discrete Mathematics, 2009, Issue 4, Pages 78–96 (Mi adm145)  
This article is cited in 3 scientific papers (total in 3 papers)

RESEARCH ARTICLE

On a question of Wiegold and torsion images of Coxeter groups

Rostislav Grigorchuk

Department of Mathematics, Mailstop 3368 Texas A&M University College Station, TX 77843–3368, USA
Full-text PDF (304 kB) Citations (3)
Abstract: We answer positively a question raised by Wiegold in Kourovka Notebook and show that every Coxeter group that is not virtually abelian and for which all labels in the corresponding Coxeter graph are powers of 2 or infinity can be mapped onto uncountably many infinite 2-groups which, in addition, may be chosen to be just-infinite, branch groups of intermediate growth.
Keywords: torsion groups, Coxeter groups, just-infinite groups, branch groups, groups of intermediate growth.
Received: 25.11.2009
Revised: 15.12.2009
Bibliographic databases:
Document Type: Article
MSC: 20F50,20F55,20E08
Language: English
Citation: Rostislav Grigorchuk, “On a question of Wiegold and torsion images of Coxeter groups”, Algebra Discrete Math., 2009, no. 4, 78–96
Citation in format AMSBIB
\Bibitem{Gri09}
\by Rostislav~Grigorchuk
\paper On a~question of Wiegold and torsion images of~Coxeter~groups
\jour Algebra Discrete Math.
\yr 2009
\issue 4
\pages 78--96
\mathnet{http://mi.mathnet.ru/adm145}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2681484}
\zmath{https://zbmath.org/?q=an:1199.20073}
Linking options:
  • https://www.mathnet.ru/eng/adm145
  • https://www.mathnet.ru/eng/adm/y2009/i4/p78
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:220
    Full-text PDF :87
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024