论文标题
Brin-Thompson组的亚组的一些障碍物和一系列扭曲的Brin-Thompson组的选择
Some obstructions on the subgroups of the Brin-Thompson groups and a selection of twisted Brin-Thompson groups
论文作者
论文摘要
由Burillo，Cleary和Roever的激励，概述了Thompson的$ V子组的障碍，我们探索了这些组的更高维度版本，Brin-Thompson组$ NV $和$ SV，$一类无限尺寸的Brin-Thompson组，以及与Brin-Thompson $ SV_的扭曲版本的一类简单的类别。 We found that they have similar obstructions as Thompson's group $V$ on the torsion subgroups and a selection of the interesting Baumslag-Solitor groups are excluded as the subgroups of $SV$ and $SV_G.$ We also discuss a little on the group $\mathscr{S}V,$ an even larger class relaxing some of the "finiteness condition" and observe that some of the restrictions on subgroups消失。
Motivated by Burillo, Cleary and Roever's summary on obstructions of subgroups of Thompson's group $V,$ we explored the higher dimensional version of the groups, Brin-Thompson groups $nV$ and $SV,$ a class of infinite dimensional Brin-Thompson groups and an easy class of the twisted version of the Brin-Thompson groups $SV_G$ with some certain condition. We found that they have similar obstructions as Thompson's group $V$ on the torsion subgroups and a selection of the interesting Baumslag-Solitor groups are excluded as the subgroups of $SV$ and $SV_G.$ We also discuss a little on the group $\mathscr{S}V,$ an even larger class relaxing some of the "finiteness condition" and observe that some of the restrictions on subgroups disappear.
