A class of finite simple Bol loops of exponent 2

Nagy, Gábor

doi:10.1090/S0002-9947-09-04646-7

A class of finite simple Bol loops of exponent 2
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Trans. Amer. Math. Soc. 361 (2009), 5331-5343 Request permission

Abstract:

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 (2005). These results answer some questions of M. Aschbacher.

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