HIGH DIMENSIONAL KNOT GROUPS AND HNN EXTENSIONS OF THE FIBONACCI GROUPS

Author:

SZCZEPAŃSKI ANDRZEJ1

Affiliation:

1. University of Gdańsk, Institute of Mathematics, ul. Wita Stwosza 57, 80-952 Gdańsk, Poland

Abstract

We shall present a new class of examples of high dimensional knot groups. All of them are HNN extensions of the Fibonacci groups. We give also some characterization of these groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Brieskorn Manifolds, Generalized Sieradski Groups, and Coverings of Lens Spaces;Proceedings of the Steklov Institute of Mathematics;2019-04

2. Многообразия Брискорна, обобщенные группы Сирадски и накрытия линзовых пространств;Trudy Instituta Matematiki i Mekhaniki UrO RAN;2017

3. Certain Cyclically Presented Groups with the Same Polynomial;Communications in Algebra;2006-08

4. TOPOLOGICAL PROPERTIES OF CYCLICALLY PRESENTED GROUPS;Journal of Knot Theory and Its Ramifications;2003-03

5. HNN EXTENSION OF CYCLICALLY PRESENTED GROUPS;Journal of Knot Theory and Its Ramifications;2001-12

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