@Article{CMR-33-177, author = {Li , ZhiguoLei , FengchunChen , Zhi and Wu , Jie}, title = {On Fundamental Group of a Certain Class of Welded Knots}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {2}, pages = {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.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.02.09}, url = {http://global-sci.org/intro/article_detail/cmr/13397.html} }