A group theoretic criterion for property FA
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- by Marc Culler and Karen Vogtmann PDF
- Proc. Amer. Math. Soc. 124 (1996), 677-683 Request permission
Abstract:
We give group-theoretic conditions on a set of generators of a group $G$ which imply that $G$ admits no non-trivial action on a tree. The criterion applies to several interesting classes of groups, including automorphism groups of most free groups and mapping class groups of most surfaces.References
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Additional Information
- Marc Culler
- Affiliation: Department of Mathematics, University of Illinois at Chicago, 851 S. Morgan St., Chicago, Illinois 60607-7045
- Email: culler@math.uic.edu
- Karen Vogtmann
- Affiliation: Department of Mathematics, Cornell University, White Hall, Ithaca, New York 14853-7901
- MR Author ID: 179085
- ORCID: 0000-0002-6518-1290
- Email: vogtmann@math.cornell.edu
- Received by editor(s): May 31, 1994
- Additional Notes: Both authors are partially supported by the National Science Foundation.
- Communicated by: James West
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 677-683
- MSC (1991): Primary 20E08; Secondary 20F28, 20F36, 05C05
- DOI: https://doi.org/10.1090/S0002-9939-96-03217-0
- MathSciNet review: 1307506