High-dimensional knots corresponding to the fractional Fibonacci groups

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Abstract

We prove that the natural HNN-extensions of the fractional Fibonacci groups are the fundamental groups of high-dimensional knot complements. We also give some characterization and interpretation of these knots. In particular we show that some of them are 2-knots.

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APA

Szczepański, A., & Vesnin, A. (2000). High-dimensional knots corresponding to the fractional Fibonacci groups. Fundamenta Mathematicae, 161(1–2), 235–240. https://doi.org/10.4064/fm-161-1-2-235-240

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