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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; [email protected]
A. W. REID
Affiliation:
Department of Mathematics, University of Texas, Austin, TX 78712, USA; [email protected]
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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

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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.