On the residual properties of link groups |
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Authors: | V G Bardakov R V Mikhailov |
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Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia;(2) Steklov Institute of Mathematics, Moscow, Russia |
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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. |
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Keywords: | link group residual nilpotency residual p-finiteness linear representation arithmetic group |
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