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On a Structural Property of the Groups of Alternating Links

Published online by Cambridge University Press:  20 November 2018

E. J. Mayland Jr  and
Kunio Murasugi
E. J. Mayland Jr
Affiliation:
York University, Downsview, Ontario
Kunio Murasugi
Affiliation:
University of Toronto, Toronto, Ontario
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In this paper, we will prove, as a consequence of the main theorem,

THEOREM A. (See Corollary 2.6). The group of an alternating knot, for which the leading coefficient of the knot polynomial is a prime power, is residually finite and solvable.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 3 , 01 June 1976 , pp. 568 - 588
Copyright
Copyright © Canadian Mathematical Society 1976

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