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

JOURNAL OF ALGEBRA

卷:336

Article

Park, Sejong¹ 

[1] Univ Aberdeen, Inst Math, Aberdeen AB24 3UE, Scotland

关键词: Fusion systems;    Exotic fusion systems;    Exoticity index;   

DOI  :  10.1016/j.jalgebra.2011.04.005

来源: Elsevier

【 摘 要 】

Continuing our previous work (Park, 2010) [2], we determine a minimal left characteristic biset X for every exotic fusion system F on the extraspecial group S of order 7(3) and exponent 7 discovered by Ruiz and Viruel (2004) [6], and analyze the finite group G obtained from x by the method of Park (2010) [2] which realizes F as the full subcategory of the 7-fusion system of G. In particular, we obtain an upper bound for the exoticity index for F. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free