TY - JOUR T1 - On Fundamental Group of a Certain Class of Welded Knots AU - Li , Zhiguo AU - Lei , Fengchun AU - Chen , Zhi AU - Wu , Jie JO - Communications in Mathematical Research VL - 2 SP - 177 EP - 184 PY - 2019 DA - 2019/11 SN - 33 DO - http://doi.org/10.13447/j.1674-5647.2017.02.09 UR - https://global-sci.org/intro/article_detail/cmr/13397.html KW - welded knot, fundamental group, Dihedral group, linear group AB -

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.