论文标题
提升虚拟纯编织组的定理
Lifting theorem for the virtual pure braid groups
论文作者
论文摘要
在本文中，我们证明了有关举起虚拟纯辫子组的定理。该定理说，如果我们知道虚拟纯辫子组$ vp_4 $的介绍，那么我们可以找到$ vp_n $的演示文稿，适用于任意$ n> 4 $。使用此定理，我们找到了作者Previuos文章中定义的Simplicial Group $ T _*$的一组生成器和定义关系。我们发现了有线发电机中免费组的半主导产品中Artin Pure Braid Group $ p_n $的分解。
In this article we prove theorem on Lifting for the set of virtual pure braid groups. This theorem says that if we know presentation of virtual pure braid group $VP_4$, then we can find presentation of $VP_n$ for arbitrary $n > 4$. Using this theorem we find the set of generators and defining relations for simplicial group $T_*$ which was defined in the previuos article of the authors. We find a decomposition of the Artin pure braid group $P_n$ in semi-direct product of free groups in the cabled generators.
