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

1999-05-26