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Generation of fusion systems of characteristic 2-type
Authors:Michael Aschbacher
Institution:1. California Institute of Technology, Pasadena, CA, 91125, USA
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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