论文标题
Planar Pure Braid Group的演讲
A presentation for the planar pure braid group
论文作者
论文摘要
我们描述了为$ n $ strands上的平面纯辫子$ \ overline {p} _n $的最小演示构建。本演示文稿的发电机对于$ \ overline {p} _n $的共同体戒指的发电机是双重的。我们还为纯仙人掌群构建了一个明确的（尽管非最小）表现。
We describe the construction of a minimal presentation for the group of planar pure braids $\overline{P}_n$ on $n$ strands. The generators of this presentation are dual to the generators of the cohomology ring of $\overline{P}_n$ found by Y.Baryshnikov while the relations lie in the commutator subgroup of $\overline{P}_n$. We also construct an explicit (although non-minimal) presentation for the pure cactus group.
