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On the residual properties of link groups
Authors:V G Bardakov  R V Mikhailov
Institution:(1) Sobolev Institute of Mathematics, Novosibirsk, Russia;(2) Steklov Institute of Mathematics, Moscow, Russia
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
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