Extensions of <inf>p</inf>-local finite groups

C. Broto, N. Castellana, J. Grodal, R. Levi, B. Oliver

Research output: Contribution to journalArticleResearchpeer-review

64 Citations (Scopus)


A p-local finite group consists of a finite p-group S, together with a pair of categories which encode "conjugacy" relations among subgroups of S, and which are modelled on the fusion in a Sylow p-subgroup of a finite group. It contains enough information to define a classifying space which has many of the same properties as p-completed classifying spaces of finite groups. In this paper, we study and classify extensions of p-local finite groups, and also compute the fundamental group of the classifying space of a p-local finite group. © 2007 American Mathematical Society.
Original languageEnglish
Pages (from-to)3791-3858
JournalTransactions of the American Mathematical Society
Issue number8
Publication statusPublished - 1 Aug 2007


  • Classifying space
  • Finite groups
  • Fusion
  • P-completion


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