Residual finiteness of groups and topological dynamics
Sbornik. Mathematics, Tome 191 (2000) no. 4, pp. 529-541
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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.
@article{SM_2000_191_4_a2,
author = {A. V. Egorov},
title = {Residual finiteness of groups and topological dynamics},
journal = {Sbornik. Mathematics},
pages = {529--541},
publisher = {mathdoc},
volume = {191},
number = {4},
year = {2000},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2000_191_4_a2/}
}
A. V. Egorov. Residual finiteness of groups and topological dynamics. Sbornik. Mathematics, Tome 191 (2000) no. 4, pp. 529-541. http://geodesic.mathdoc.fr/item/SM_2000_191_4_a2/