Cellularization of classifying spaces and fusion properties of finite groups

Ramón J. Flores, Jérôme Scherer

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)

Abstract

One way to understand the mod p homotopy theory of classifying spaces of finite groups is to compute their Bℤ/p-cellularization. In the easiest cases this is a classifying space of a finite group (always a finite p-group). If not, we show that it has infinitely many non-trivial homotopy groups. Moreover they are either p-torsion free or else infinitely many of them contain p-torsion. By means of techniques related to fusion systems we exhibit concrete examples where p-torsion appears and compute explicitly the cellularization. © 2007 London Mathematical Society.
Original languageEnglish
Pages (from-to)41-56
JournalJournal of the London Mathematical Society
Volume76
Issue number1
DOIs
Publication statusPublished - 1 Jan 2007

Fingerprint Dive into the research topics of 'Cellularization of classifying spaces and fusion properties of finite groups'. Together they form a unique fingerprint.

Cite this