论文标题
在满足其有限亚组的某些条件的群体的维度上
On the dimension of groups that satisfy certain conditions on their finite subgroups
论文作者
论文摘要
我们证明，布雷登的共同体学维度和虚拟共同体学维度是为$ \ $ \ useverline {e} g $和满足属性（m）和（nm）的组模型的组重合的。满足这些假设的群体的例子包括共同体和算术fuchsian群体，一个关系组，希尔伯特模块化组和$ 3 $ - manifold群体。
We prove that the Bredon cohomological dimension and the virtual cohomological dimension coincide for groups that admit a cocompact model for $\underline{E}G$ and satisfy properties (M) and (NM). Among the examples of groups satisfying these hypothesis are cocompact and arithmetic Fuchsian groups, one relator groups, the Hilbert modular group and $3$-manifold groups.
