Abstract
Necessary and sufficient conditions are given for a satellite knot to be fibered. Any knot $\tilde k$ embeds in an unknotted solid torus $\tilde V$ with arbitrary winding number in such a way that no satellite knot with pattern $(\tilde V, \tilde k)$ is fibered. In particular, there exist nonfibered satellite knots with fibered pattern and companion knots and nonzero winding number.
Citation
Mikami Hirasawa. Kunio Murasugi. Daniel S. Silver. "When does a satellite knot fiber?." Hiroshima Math. J. 38 (3) 411 - 423, November 2008. https://doi.org/10.32917/hmj/1233152778
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