High-dimensional knots corresponding to the fractional Fibonacci groups
Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 235-240
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{10_4064_fm_161_1_2_235_240,
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},
year = {1999},
volume = {161},
number = {1},
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/}
}
TY - JOUR AU - Andrzej Szczepański AU - Andreĭ Vesnin TI - High-dimensional knots corresponding to the fractional Fibonacci groups JO - Fundamenta Mathematicae PY - 1999 SP - 235 EP - 240 VL - 161 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/fm-161-1-2-235-240/ DO - 10.4064/fm-161-1-2-235-240 LA - en ID - 10_4064_fm_161_1_2_235_240 ER -
%0 Journal Article %A Andrzej Szczepański %A Andreĭ Vesnin %T High-dimensional knots corresponding to the fractional Fibonacci groups %J Fundamenta Mathematicae %D 1999 %P 235-240 %V 161 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4064/fm-161-1-2-235-240/ %R 10.4064/fm-161-1-2-235-240 %G en %F 10_4064_fm_161_1_2_235_240
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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