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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 3, Pages 485–495 (Mi smj42)  
This article is cited in 8 scientific papers (total in 8 papers)

On the residual properties of link groups

V. G. Bardakova, R. V. Mikhailovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (207 kB) Citations (8)
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Abstract: We study the residual properties of finitely generated linear groups. Using the methods under consideration, we prove the residual 2-finiteness of the groups of the Whitehead link, the Borromean links (answering a question of Cochran), and some other links. We show also that each link is a sublink of some link whose group is residually 2-finite.
Keywords: link group, residual nilpotency, residual $p$-finiteness, linear representation, arithmetic group.
Received: 21.11.2005
Revised: 07.06.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 3, Pages 387–394
DOI: https://doi.org/10.1007/s11202-007-0042-0
Bibliographic databases:
Document Type: Article
UDC: 512.543+512.547+515.162.8
Language: Russian
Citation: V. G. Bardakov, R. V. Mikhailov, “On the residual properties of link groups”, Sibirsk. Mat. Zh., 48:3 (2007), 485–495; Siberian Math. J., 48:3 (2007), 387–394
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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