Two-dimensional representations of groups with property FA
HTML articles powered by AMS MathViewer
- by Roger C. Alperin PDF
- Proc. Amer. Math. Soc. 108 (1990), 283-284 Request permission
Abstract:
We show that the two-dimensional representations of groups having property FA have finite image, if they always have compact closure.References
- Hyman Bass, Finitely generated subgroups of $\textrm {GL}_{2}$, The Smith conjecture (New York, 1979) Pure Appl. Math., vol. 112, Academic Press, Orlando, FL, 1984, pp.Β 127β136. MR 758465, DOI 10.1016/S0079-8169(08)61638-4
- 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, 97β103. 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, 425β436. MR 735334, DOI 10.1007/BF01388637
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 283-284
- MSC: Primary 20E99
- DOI: https://doi.org/10.1090/S0002-9939-1990-0990411-1
- MathSciNet review: 990411