Actions of finitely generated groups on the universal Menger curve

Author:
Kazuhiro Kawamura

Journal:
Proc. Amer. Math. Soc. **130** (2002), 609-611

MSC (2000):
Primary 57S05, 54F50

DOI:
https://doi.org/10.1090/S0002-9939-01-06089-0

Published electronically:
June 19, 2001

MathSciNet review:
1862145

Full-text PDF

Abstract | References | Similar Articles | Additional Information

We prove that every finitely generated group acts effectively on the universal Menger curve.

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Additional Information

**Kazuhiro Kawamura**

Affiliation:
Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan

Email:
kawamura@math.tsukuba.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-01-06089-0

Keywords:
The universal Menger curve,
homeomorphism group

Received by editor(s):
February 10, 2000

Received by editor(s) in revised form:
August 8, 2000

Published electronically:
June 19, 2001

Communicated by:
Alan Dow

Article copyright:
© Copyright 2001
American Mathematical Society