## Alexander polynomials of ribbon links

### Jonathan A. Hillman

#### Abstract

We give a simple argument to show that every polynomial $$f \in \mathbb{Z}[t]$$ such that $$f(1)=1$$ is the Alexander polynomial of some ribbon 2-knot whose group is a 1-relator group, and we extend this result to links.

Keywords: Alexander polynomial. boundary link. knot. 1-relator group. ribbon.

: Primary 57Q45.

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 Wednesday, May 27, 2009