# 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:

- 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}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.