Alexander module of a knot
= Alexander module of a knot
{c}
{title2=$H_1(\widetilde E_K;\mathbb Z)$}
{wiki=Alexander_polynomial#Definition}
The Alexander module is the first integral homology of the <infinite cyclic cover of a knot exterior>. Its deck transformation makes it a module over $\mathbb Z[t^{\pm1}]$, and its first elementary ideal determines the <Alexander polynomial of a knot>.
= Alexander module
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{synonym}