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 - <p style="text-align: justify;">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 $K_{2n}$, $n ∈$&nbsp;<strong>Z</strong><sup>+</sup>, 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.&nbsp;</p>