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Periodic links and augmented groups

Published online by Cambridge University Press:  01 September 1999

DANIEL S. SILVER  and
SUSAN G. WILLIAMS
DANIEL S. SILVER
Affiliation:
Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, U.S.A. e-mail: silver@mathstat.usouthal.edu, e-mail: williams@mathstat.usouthal.edu
SUSAN G. WILLIAMS
Affiliation:
Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, U.S.A. e-mail: silver@mathstat.usouthal.edu, e-mail: williams@mathstat.usouthal.edu
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Abstract

Given a finitely presented group G and an epimorphism χ:G→Z, constraints on the orders of automorphisms F:G→G such that χ∘F = χ are obtained via symbolic dynamics. The techniques provide new obstructions to periodicity for knots and links.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 127 , Issue 2 , September 1999 , pp. 217 - 236
Copyright
The Cambridge Philosophical Society 1999

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