A note on a theorem of Chiswell
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- by Stephen Jackson and Luca Q. Zamboni PDF
- Proc. Amer. Math. Soc. 123 (1995), 2629-2631 Request permission
Abstract:
In this note we give an alternative proof of a theorem of I. M. Chiswell which states that every finitely generated group which acts non-trivially on a $\Lambda -$ tree admits a non-trivial action on an $\mathbb {R} -$ tree.References
- Roger Alperin and Hyman Bass, Length functions of group actions on $\Lambda$-trees, Combinatorial group theory and topology (Alta, Utah, 1984) Ann. of Math. Stud., vol. 111, Princeton Univ. Press, Princeton, NJ, 1987, pp. 265–378. MR 895622
- I. M. Chiswell, Nontrivial group actions on $\Lambda$-trees, Bull. London Math. Soc. 24 (1992), no. 3, 277–280. MR 1157264, DOI 10.1112/blms/24.3.277
- Herbert B. Enderton, A mathematical introduction to logic, Academic Press, New York-London, 1972. MR 0337470
- Peter B. Shalen, Dendrology of groups: an introduction, Essays in group theory, Math. Sci. Res. Inst. Publ., vol. 8, Springer, New York, 1987, pp. 265–319. MR 919830, DOI 10.1007/978-1-4613-9586-7_{4}
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2629-2631
- MSC: Primary 20E08
- DOI: https://doi.org/10.1090/S0002-9939-1995-1277116-1
- MathSciNet review: 1277116