Homotopy equivalences of p-completed classifying spaces of finite groups
成果类型：
Article
署名作者：
Broto, C; Levi, R; Oliver, B
署名单位：
Autonomous University of Barcelona; University of Aberdeen
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-002-0264-5
发表日期：
2003
页码：
611-664
关键词：
摘要：
We study homotopy equivalences of p-completions of classifying spaces of finite groups. To each finite group G and each prime p, we associate a finite category L-p(c)(G) with the following properties. Two p-completed classifying spaces BG((p) over cap) and BG'(p) over cap have the same homotopy type if and only if the associated categories L-p(c)(G) and L-p(c)(G') are equivalent. Furthermore, the topological monoid Aut(BG((p) over cap)) of self equivalences is determined by the self equivalences of the associated category L-p(c)(G).
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