Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-27T21:58:04.959Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

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