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A group theoretic criterion for property FA
Authors:
Marc Culler and Karen Vogtmann
Journal:
Proc. Amer. Math. Soc. 124 (1996), 677-683
MSC (1991):
Primary 20E08; Secondary 20F28, 20F36, 05C05
MathSciNet review:
1307506
Full-text PDF Free Access
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Additional Information
Abstract: We give group-theoretic conditions on a set of generators of a group  which imply that  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.
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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
Email:
vogtmann@math.cornell.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-96-03217-0
PII:
S 0002-9939(96)03217-0
Keywords:
Property FA,
group actions on trees
Received by editor(s):
May 31, 1994
Additional Notes:
Both authors are partially supported by the National Science Foundation.
Communicated by:
James West
Article copyright:
© Copyright 1996 American Mathematical Society
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