A class of finite simple Bol loops of exponent 2
classification
🧮 math.GR
keywords
loopsaschbacherclassexponentfinitegrouprightsimple
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In this paper we give an infinite class of finite simple right Bol loops of exponent 2. The right multiplication group of these loops is an extension of an elementary Abelian 2-group by $S_5$. The construction uses the description of the structure of such loops given by M. Aschbacher. These results answer some questions of M. Aschbacher.
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