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Title: Residual finiteness of groups and topological dynamics

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.

Authors:
 [1]
  1. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
21202930
Resource Type:
Journal Article
Journal Name:
Sbornik. Mathematics
Additional Journal Information:
Journal Volume: 191; Journal Issue: 4; Other Information: DOI: 10.1070/SM2000v191n04ABEH000470; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1064-5616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GROUP THEORY; MATHEMATICAL LOGIC; TOPOLOGY

Citation Formats

Egorov, A V. Residual finiteness of groups and topological dynamics. United States: N. p., 2000. Web. doi:10.1070/SM2000V191N04ABEH000470; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Egorov, A V. Residual finiteness of groups and topological dynamics. United States. doi:10.1070/SM2000V191N04ABEH000470; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Egorov, A V. Sun . "Residual finiteness of groups and topological dynamics". United States. doi:10.1070/SM2000V191N04ABEH000470; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21202930,
title = {Residual finiteness of groups and topological dynamics},
author = {Egorov, A V},
abstractNote = {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.},
doi = {10.1070/SM2000V191N04ABEH000470; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
journal = {Sbornik. Mathematics},
issn = {1064-5616},
number = 4,
volume = 191,
place = {United States},
year = {2000},
month = {4}
}