Abstract
Kondo and Sakai independently gave a characterization of Alexander polynomials for knots which are transformed into the trivial knot by a single crossing change. The first author gave a characterization of Alexander polynomials for knots which are transformed into the trefoil knot (and into the figure-eight knot) by a single crossing change. In this note, we will give a characterization of Alexander polynomials for knots which are transformed into the 10 132 knot (and into the ( 5 , 2 ) -torus knot) by a single crossing change. Moreover, this method can be applied for knots with monic Alexander polynomials.
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