Year: 2017
Author: Zhiguo Li, Fengchun Lei, Zhi Chen, Jie Wu
Communications in Mathematical Research , Vol. 33 (2017), Iss. 2 : pp. 177–184
Abstract
In this paper, a certain class of welded knots $K_{2n}$ is considered. By calculating the commutators subgroup of fundamental group $G_n$ of welded knot $K_{2n}$, $n ∈$ Z+, we show that these welded knots are not equivalent to each other and they are all not classical knots. Secondly, we study some properties of $G_n$ and obtain that $G_n$ is linear, residually finite and Hopfian.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.02.09
Communications in Mathematical Research , Vol. 33 (2017), Iss. 2 : pp. 177–184
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: welded knot fundamental group Dihedral group linear group