论文标题
不受限制的虚拟辫子和晶体学辫子组
Unrestricted virtual braids and crystallographic braid groups
论文作者
论文摘要
我们表明,晶体学辫子组$ b_n/[p_n,p_n] $自然地嵌入了无限制的虚拟辫子$ uvb_n $中,我们给出了有关$ b_n/[p_n,p_n] $的扭转元素的新证明,并给出了$ uvb_n $ uvb_n元素的特征。
We show that the crystallographic braid group $B_n/[P_n,P_n]$ embeds naturally in the group of unrestricted virtual braids $UVB_n$, we give new proofs of known results about the torsion elements of $B_n/[P_n,P_n]$, and we characterise the torsion elements of $UVB_n$.