Minimal characteristic bisets and finite groups realizing Ruiz-Viruel\n exotic fusion systems

2010/11/19 by Sejong Park, Park, Sejong
Mathematics · #20C20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1011.4505

openalex publication_date 2010/11/19 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

Continuing our previous work, we determine a minimal left characteristic\nbiset X for every exotic fusion system \F on the extraspecial\ngroup S of order 7³ and exponent 7 discovered by Ruiz and Viruel, and\nanalyze the finite group G obtained from X which realizes \F as\nthe full subcategory of the 7-fusion system of G. In particular, we obtain\nan upper bound for the exoticity index for \F.\n

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