Automorphisms of p-local compact groups
Automorphisms of p-local compact groups
复制标题
p-局部紧群的自同构
DOI：
10.1016/j.jalgebra.2016.07.033
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发表时间：
2016
影响因子：
0.9
通讯作者：
González A
中科院分区：
文献类型：
--
作者：
González A
p-局部紧群的分类空间的自等价性通过产生它们的代数结构得到了很好的理解，但缺乏明确的描述。本文利用罗宾逊构造的一个融合群G，实现了一个给定的融合系统，产生了一个从G的外自同构群到相应p-局部紧群的分类空间的自同伦等价的同伦类群的分裂满射.
Self equivalences of classifying spaces ofp-local compact groups are well understood by means of the algebraic structure that gives rise to them, but explicit descriptions are lacking. In this paper we use Robinson's construction of an amalgamG, realising a given fusion system, to produce a split epimorphism from the outer automorphism group ofGto the group of homotopy classes of self homotopy equivalences of the classifying space of the correspondingp-local compact group.