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Free subgroups of surface mapping class groups
Author(s):
James
W.
Anderson;
Javier
Aramayona;
Kenneth
J.
Shackleton
Journal:
Conform. Geom. Dyn.
11
(2007),
44-55.
MSC (2000):
Primary 20F65;
Secondary 57M50
Posted:
March 15, 2007
Corrigenda:
Conform. Geom. Dyn. 13 (2009), 136-138.
MathSciNet review:
2295997
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Additional information
Abstract:
We quantify the generation of free subgroups of surface mapping class groups by pseudo-Anosov mapping classes in terms of their translation distance and the distance between their axes in Teichmüller's metric. The method makes reference to Teichmüller space only.
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Additional Information:
James
W.
Anderson
Affiliation:
School of Mathematics, University of Southampton, Southampton SO17 1BJ, England
Email:
j.w.anderson@soton.ac.uk
Javier
Aramayona
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL, England
Email:
jaram@maths.warwick.ac.uk
Kenneth
J.
Shackleton
Affiliation:
Institut des Hautes Études Scientifiques, Le Bois-Marie, 35 Route de Chartres, F-91440 Bures-sur-Yvette, France
Address at time of publication:
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8552, Japan
Email:
kjs2006@alumni.soton.ac.uk; shackleton.k.aa@m.titech.ac.jp
DOI:
10.1090/S1088-4173-07-00156-7
PII:
S 1088-4173(07)00156-7
Received by editor(s):
May 15 2006
Received by editor(s) in revised form:
November 8, 2006
Posted:
March 15, 2007
Additional Notes:
The third author was partially supported by a short-term Japan Society for the Promotion of Science post-doctoral fellowship for foreign researchers, number PE05043.
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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