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Sbornik: Mathematics, 2000, Volume 191, Issue 4, Pages 529–541
DOI: https://doi.org/10.1070/sm2000v191n04ABEH000470 (Mi sm470) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Residual finiteness of groups and topological dynamics

A. V. Egorov

M. V. Lomonosov Moscow State University
English version PDF (173 kB) Citations (1)
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DOI: https://doi.org/10.1070/sm2000v191n04ABEH000470
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.
Received: 22.03.1999 and 29.07.1999
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 4, Pages 53–66
DOI: https://doi.org/10.4213/sm470
Bibliographic databases:
UDC: 512.544.7
MSC: Primary 57M07, 37C15, 54H20; Secondary 20F05, 57S05, 20E18, 47D03, 57S10
Language: English
Original paper language: Russian
Citation: A. V. Egorov, “Residual finiteness of groups and topological dynamics”, Mat. Sb., 191:4 (2000), 53–66; Sb. Math., 191:4 (2000), 529–541
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:227
    English version PDF:40
    References:92
    First page:1
     
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