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.
@article{bwmeta1.element.bwnjournal-article-fmv161i1p235bwm,
author = {Andrzej Szczepa\'nski and Andre\u\i\ Vesnin},
title = {High-dimensional knots corresponding to the fractional Fibonacci groups},
journal = {Fundamenta Mathematicae},
volume = {159},
year = {1999},
pages = {235-240},
zbl = {0942.57022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv161i1p235bwm}
}
Szczepański, Andrzej; Vesnin, Andreĭ. High-dimensional knots corresponding to the fractional Fibonacci groups. Fundamenta Mathematicae, Tome 159 (1999) pp. 235-240. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv161i1p235bwm/
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