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2 results

  • On a Structural Property of the Groups of Alternating Links

  • E. J. Mayland, Jr, Kunio Murasugi
  • Journal:
    Canadian Journal of Mathematics / Volume 28 / Issue 3 / 01 June 1976
    Published online by Cambridge University Press:
    20 November 2018, pp. 568-588
    Print publication:
    01 June 1976
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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.

  • The Residual Finiteness of the Classical Knot Groups

  • E. J. Mayland, Jr.
  • Journal:
    Canadian Journal of Mathematics / Volume 27 / Issue 5 / 01 October 1975
    Published online by Cambridge University Press:
    20 November 2018, pp. 1092-1099
    Print publication:
    01 October 1975
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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].