Let be a Group, then there exists a piecewise linear Knot in for with
Iff satisfies
- 1. is finitely presentable,
- 2. The Abelianization of is infinite cyclic,
- 3. The normal closure of some single element is all of ,
- 4. ; the second homology of the group is trivial.
References
Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 350-351, 1976.
© 1996-9 Eric W. Weisstein
1999-05-26