Minimal characteristic bisets and finite groups realizing Ruiz-Viruel exotic fusion systems
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Park, Sejong (2011) 'Minimal characteristic bisets and finite groups realizing Ruiz-Viruel exotic fusion systems'. J. Algebra, 336 :349-369.
Continuing our previous work (Park, 2010) , we determine a minimal left characteristic biset X for every exotic fusion system FF on the extraspecial group S of order 73 and exponent 7 discovered by Ruiz and Viruel (2004) , and analyze the finite group G obtained from X by the method of Park (2010) which realizes FF as the full subcategory of the 7-fusion system of G. In particular, we obtain an upper bound for the exoticity index for FF.