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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Fixed points of finite groups of free group automorphisms


Author: Tad White
Journal: Proc. Amer. Math. Soc. 118 (1993), 681-688
MSC: Primary 57M07; Secondary 20E08
MathSciNet review: 1164152
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Abstract: We construct an equivariant collection of contractions of the compactified Culler-Vogtmann outer space $ {\overline X _n}$. As a consequence, we prove that any finite subgroup of the outer automorphism group of a free group fixes a contractible subset of $ {\bar X_n}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1164152-7
PII: S 0002-9939(1993)1164152-7
Keywords: Length function, tree, outer space
Article copyright: © Copyright 1993 American Mathematical Society