Homotopy Equivalences of p-Completed Classifying Spaces of Finite Groups

C. Broto, Ran Levi, B. Oliver

Research output: Contribution to journalArticlepeer-review

55 Citations (Scopus)


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).

Original languageEnglish
Pages (from-to)611-664
Number of pages53
JournalInventiones Mathematicae
Publication statusPublished - Mar 2003


Dive into the research topics of 'Homotopy Equivalences of p-Completed Classifying Spaces of Finite Groups'. Together they form a unique fingerprint.

Cite this