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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
Published electronically: June 19, 2001
MathSciNet review: 1862145
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Abstract:

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: http://dx.doi.org/10.1090/S0002-9939-01-06089-0
PII: S 0002-9939(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