Extensions of p-local finite groups

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

Research output: Contribution to journalArticlepeer-review

65 Citations (Scopus)


A p-local finite group consists of a finite p-group S, together with a pairof categories which encode “conjugacy” relations among subgroups of S, and whichare modelled on the fusion in a Sylow p-subgroup of a finite group. It contains enoughinformation to define a classifying space which has many of the same properties asp-completed classifying spaces of finite groups. In this paper, we study and classifyextensions of p-local finite groups, and also compute the fundamental group of theclassifying space of a p-local finite group.
Original languageEnglish
Pages (from-to)3791–3858
Number of pages68
JournalTransactions of the American Mathematical Society
Issue number8
Early online date20 Mar 2007
Publication statusPublished - Aug 2007


  • p-local finite groups
  • Extensions


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