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High-dimensional knots corresponding to the fractional Fibonacci groups

Volume 161 / 1999

Andrzej Szczepański, Andreĭ Vesnin Fundamenta Mathematicae 161 (1999), 235-240 DOI: 10.4064/fm-161-1-2-235-240

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.

Authors

  • Andrzej Szczepański
  • Andreĭ Vesnin

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