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ArticleOriginal scientific text

Title

High-dimensional knots corresponding to the fractional Fibonacci groups

Authors 1, 2

Affiliations

  1. Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland
  2. Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, 630090, Russia

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.

Bibliography

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Fundamenta Mathematicae
1999/161/1-2
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Pages:
235-240
Main language of publication
English
Received
1997-10-21
Accepted
1998-02-10
Published
1999
Exact and natural sciences