High-dimensional knots corresponding to the fractional Fibonacci groups
Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 235-240
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Affiliations des auteurs :
Andrzej Szczepański 1 ; Andreĭ Vesnin 1
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author = {Andrzej Szczepa\'nski and Andre\u{i} Vesnin},
title = {High-dimensional knots corresponding to the fractional {Fibonacci} groups},
journal = {Fundamenta Mathematicae},
pages = {235--240},
publisher = {mathdoc},
volume = {161},
number = {1},
year = {1999},
doi = {10.4064/fm-161-1-2-235-240},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-161-1-2-235-240/}
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Andrzej Szczepański; Andreĭ Vesnin. High-dimensional knots corresponding to the fractional Fibonacci groups. Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 235-240. doi: 10.4064/fm-161-1-2-235-240
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