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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2007 Volume 48, Number 3, Pages 485–495 (Mi smj42)

This article is cited 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

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.

UDC: 512.543+512.547+515.162.8

Received: 21.11.2005
Revised: 07.06.2006


 English version:
Siberian Mathematical Journal, 2007, 48:3, 387–394

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© Steklov Math. Inst. of RAS, 2025