Abstract
We prove that if ℱ is a saturated fusion system on a finite 2-group S, then either ℱ is known, or ℱ is generated by the normalizers of two canonically defined ℱ-characteristic subgroups of S. There are various corollaries for finite groups of characteristic 2-type.
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This work was partially supported by NSF-0504852.
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Aschbacher, M. Generation of fusion systems of characteristic 2-type. Invent. math. 180, 225–299 (2010). https://doi.org/10.1007/s00222-009-0229-z
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DOI: https://doi.org/10.1007/s00222-009-0229-z