High-dimensional knots corresponding to the fractional Fibonacci groups

3Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

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.

References Powered by Scopus

Twisting spun knots

210Citations
N/AReaders
Get full text

Equivariant intersection forms, knots in s4, and rotations in 2-spheres

21Citations
N/AReaders
Get full text

Abelian normal subgroups of two-knot groups

9Citations
N/AReaders
Get full text

Cited by Powered by Scopus

Topological properties of cyclically presented groups

28Citations
N/AReaders
Get full text

HNN extension of cyclically presented groups

7Citations
N/AReaders
Get full text

Fractional Fibonacci groups with an odd number of generators

1Citations
N/AReaders
Get full text

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Szczepański, A., & Vesnin, A. (2000). High-dimensional knots corresponding to the fractional Fibonacci groups. Fundamenta Mathematicae, 161(1–2), 235–240. https://doi.org/10.4064/fm-161-1-2-235-240

Readers' Seniority

Tooltip

Researcher 2

67%

Professor / Associate Prof. 1

33%

Readers' Discipline

Tooltip

Mathematics 2

50%

Philosophy 1

25%

Engineering 1

25%

Save time finding and organizing research with Mendeley

Sign up for free