Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-29T03:10:05.807Z Has data issue: false hasContentIssue false
  • English
  • Français

THE FUNDAMENTAL GROUP OF THE DOUBLE OF THE FIGURE-EIGHT KNOT EXTERIOR IS GFERF

Published online by Cambridge University Press:  25 July 2001

D. D. LONG  and
A. W. REID
D. D. LONG
Affiliation:
Department of Mathematics, University of California, Santa Barbara, CA 93106, USA; long@math.ucsb.edu
A. W. REID
Affiliation:
Department of Mathematics, University of Texas, Austin, TX 78712, USA; areid@math.utexas.edu
Get access

Abstract

We prove that the fundamental group of the double of the figure-eight knot exterior admits a faithful discrete representation into SO(4,1; R), for which the image group is separable on its geometrically finite subgroups.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 4 , July 2001 , pp. 391 - 396
Copyright
© The London Mathematical Society 2001

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 work was partially supported by the N.S.F. The second author's work was also partially supported by the Alfred P. Sloan Foundation.