Cable knots and infinite necklaces of knots

Publisher: Cambridge University Press

E-ISSN: 1755-1633|51|1|17-31

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.51, Iss.1, 1995-02, pp. : 17-31

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Abstract

The group of an arbitrary companion knot is determined using the theory of braids. This seems to be a new result as far as the resulting group is concerned. The latter part of the paper considers infinite necklaces of knots, their groups and in special cases their Alexander power series.