On the homotopy type of the non-completed classifying space of a p-local finite group

Assaf Libman, Antonio Viruel

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We establish sufficient conditions for the nerve of the centric linking system of a p-local finite group (S, , ) to have the homotopy type of an Eilenberg-MacLane space K(G, 1) for a group G which contains S. We prove that in this situation the entire p-local finite group can be reconstructed from G. Our theorem applies to many of the known examples of exotic p-local finite groups.
Original languageEnglish
Pages (from-to)723–757
Number of pages35
JournalForum Mathematicum
Volume21
Issue number4
DOIs
Publication statusPublished - Jun 2009

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Classifying Space
Homotopy Type
Finite Group
K-space
Nerve
Linking
Entire
Sufficient Conditions
Theorem

Keywords

  • fusion systems
  • homotopy theory

Cite this

On the homotopy type of the non-completed classifying space of a p-local finite group. / Libman, Assaf; Viruel, Antonio.

In: Forum Mathematicum, Vol. 21, No. 4, 06.2009, p. 723–757.

Research output: Contribution to journalArticle

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