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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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On a theorem by Farb and Masur
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by Koji Fujiwara PDF
Proc. Amer. Math. Soc. 128 (2000), 3463-3464 Request permission

Abstract:

Farb and Masur showed that an irreducible lattice in a semisimple Lie group of rank at least two always has finite image by a homomorphism into the outer automorphism group of a closed, orientable surface group. We point out that their theorem extends to the outer automorphism groups of a certain class of torsion-free, freely indecomposable word-hyperbolic groups.
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Additional Information
  • Koji Fujiwara
  • Affiliation: Mathematical Institute, Tohoku University, Sendai, 980-8578 Japan
  • MR Author ID: 267217
  • Email: fujiwara@math.tohoku.ac.jp
  • Received by editor(s): December 11, 1998
  • Received by editor(s) in revised form: February 8, 1999
  • Published electronically: June 7, 2000
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 3463-3464
  • MSC (1991): Primary 20F32; Secondary 20F34, 22E40, 32G15
  • DOI: https://doi.org/10.1090/S0002-9939-00-05450-2
  • MathSciNet review: 1690987