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International conference "Arithmetic as Geometry: Parshin Fest"
November 29, 2012 12:30, Moscow, Steklov Mathematical Institute of RAS


Localization, completions and metabelian groups

R. V. Mikhailov

Steklov Mathematical Institute of the Russian Academy of Sciences



Abstract: The talk is based on recent results obtained by the speaker jointly with G. Baumslag and K. Orr. We use so-called telescopes for studying metabelian groups. We find metabelian groups determined by their lower central quotients in the class of finitely generated residually nilpotent metabelian groups, discuss the connection of lower central series with number theory and topology.

Language: English


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