Minimal fusion systems with a unique maximal parabolic

Ellen Henke* (Corresponding Author)

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We define minimal fusion systems in a way that every non-solvable fusion system has a section which is minimal. Minimal fusion systems can also be seen as analogs of Thompsonʼs N-groups. In this paper, we consider a minimal fusion system FF on a finite p-group S that has a unique maximal p -local subsystem containing NF(S)NF(S). For an arbitrary prime p, we determine the structure of a certain (explicitly described) p -local subsystem of FF. If p=2p=2, this leads to a complete classification of the fusion system FF.
Original languageEnglish
Pages (from-to)318-367
Number of pages50
JournalJournal of Algebra
Issue number1
Early online date3 Dec 2010
Publication statusPublished - 1 May 2011


  • saturated fusion systems
  • group theory


Dive into the research topics of 'Minimal fusion systems with a unique maximal parabolic'. Together they form a unique fingerprint.

Cite this