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Local structure of some Out(Fn)-complexes

Published online by Cambridge University Press:  20 January 2009

Karen Vogtmann
Affiliation:
Cornell UniversityIthaca, New York 14853, U.S.A.
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Abstract

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In previous work of the author and M. Culler, contractible simplicial complexes were constructed on which the group of outer automorphisms of a free group of finite rank acts with finite stabilizers and finite quotient. In this paper, it is shown that these complexes are Cohen-Macauley, a property they share with buildings. In particular, the link of a vertex in these complexes is homotopy equivalent to a wedge of spheres of codimension 1.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

REFERENCES

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