This article is cited in 1 paper

Residual finiteness of groups and topological dynamics

A. V. Egorov

M. V. Lomonosov Moscow State University

Abstract: The property of residual finiteness of finitely generated groups admits an interpretation in terms of topological dynamics. In this paper it is proved that a finitely generated group is residually finite if and only if it is isomorphic to a group whose action on some compact set is efficient and distal.

UDC: 512.544.7

MSC: Primary 57M07, 37C15, 54H20; Secondary 20F05, 57S05, 20E18, 47D03, 57S10

Received: 22.03.1999 and 29.07.1999

DOI: 10.4213/sm470

 English version: Sbornik: Mathematics, 2000, 191:4, 529–541

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