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PIECEWISE LINEAR NON-REPRESENTABILITY OF ${\hbox{\it Out}}\; \pi_1 M$

Published online by Cambridge University Press:  24 March 2003

F. T. FARRELL  and
P. ONTANEDA
F. T. FARRELL
Affiliation:
SUNY, Binghamton, NY 13902, USAfarrell@math.binghamton.edu
P. ONTANEDA
Affiliation:
UFPE, Recife, PE 50670-901, Brazilontaneda@dmat.ufpe.br
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Abstract

For every $n\ge 6$ , examples are given of closed negatively curved riemannian $n$ -manifolds for which the natural map $PLM\to {\hbox{\it Out}}\;\pi_1M$ is not an epimorphism. $PLM$ denotes the group of piecewise linear homeomorphisms of $M$ .

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 5 , September 2002 , pp. 582 - 586
Copyright
© The London Mathematical Society 2002

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Footnotes

This research was supported in part by the National Science Foundation and CNPq, Brazil.