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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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Two-dimensional representations of groups with property FA
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by Roger C. Alperin PDF
Proc. Amer. Math. Soc. 108 (1990), 283-284 Request permission


We show that the two-dimensional representations of groups having property FA have finite image, if they always have compact closure.
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  • Jean-Pierre Serre, Trees, Springer-Verlag, Berlin-New York, 1980. Translated from the French by John Stillwell. MR 607504
  • Yasuo Watatani, Property T of Kazhdan implies property FA of Serre, Math. Japon. 27 (1982), no.Β 1, 97–103. MR 649023
  • B. A. F. Wehrfritz, Infinite linear groups. An account of the group-theoretic properties of infinite groups of matrices, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 76, Springer-Verlag, New York-Heidelberg, 1973. MR 0335656
  • R. J. Zimmer, Kazhdan groups acting on compact manifolds, Invent. Math. 75 (1984), no.Β 3, 425–436. MR 735334, DOI 10.1007/BF01388637
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 108 (1990), 283-284
  • MSC: Primary 20E99
  • DOI:
  • MathSciNet review: 990411