Extensions of p-local finite groups

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

Research output: Contribution to journalArticle

55 Citations (Scopus)

Abstract

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
Volume359
Issue number8
Early online date20 Mar 2007
Publication statusPublished - Aug 2007

Keywords

  • p-local finite groups
  • Extensions

Fingerprint Dive into the research topics of 'Extensions of p-local finite groups'. Together they form a unique fingerprint.

  • Cite this

    Broto, C., Castellana, N., Grodal, J., Levi, R., & Oliver, B. (2007). Extensions of p-local finite groups. Transactions of the American Mathematical Society, 359(8), 3791–3858.