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The Residual Finiteness of the Classical Knot Groups

Published online by Cambridge University Press:  20 November 2018

E. J. Mayland Jr.
E. J. Mayland Jr.*
Affiliation:
York University, Downsview, Ontario
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The purpose of this paper is to extend the class of knot groups whose commutator subgroups are known to be residually a finite pgroup (i.e., residually of order a power of the prime p). Such a knot group is known to be residually finite (see, e.g., [10]), and although this class is quite restricted we will show that it includes all the groups of knots in the classical knot table [15].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 5 , 01 October 1975 , pp. 1092 - 1099
Copyright
Copyright © Canadian Mathematical Society 1975

References

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