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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Limit sets and regions of discontinuity of Teichmüller modular groups
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by Ege Fujikawa PDF
Proc. Amer. Math. Soc. 132 (2004), 117-126 Request permission


For a Riemann surface of infinite type, the Teichmüller modular group does not act properly discontinuously on the Teichmüller space, in general. As an analogy to the theory of Kleinian groups, we divide the Teichmüller space into the limit set and the region of discontinuity for the Teichmüller modular group, and observe their properties.
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Additional Information
  • Ege Fujikawa
  • Affiliation: Department of Mathematics, Tokyo Institute of Technology, Oh-okayama Meguro-ku Tokyo 152-8551, Japan
  • MR Author ID: 706593
  • Email:
  • Received by editor(s): August 12, 2002
  • Published electronically: February 28, 2003
  • Communicated by: Juha M. Heinonen
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 117-126
  • MSC (2000): Primary 30F60; Secondary 30C62
  • DOI:
  • MathSciNet review: 2021254