论文标题
控制$ p $ - 局部紧凑型组的同型类型的亚组集合
Subgroup collections controlling the homotopy type of a $p$-local compact group
论文作者
论文摘要
令（S，F，L）为P-Local紧凑型组。我们证明，链接系统L的神经的（未完成的）同质型类型L取决于F-Centric和F-Radical的S亚组的收集。该结果概括了文献中P-Local有限基团的结果。
Let (S,F,L) be a p-local compact group. We prove that the (uncompleted) homotopy type of the nerve of the linking system L is determined by the collection of subgroups of S that are F-centric and F-radical. This result generalizes the result for the case of p-local finite groups, which is in the literature.
