A class of finite simple Bol loops of exponent 2

Details A class of finite simple Bol loops of exponent 2 A class of finite simple Bol loops of exponent 2

2007-09-28

arxiv.org/abs/0709.4544v1

Mathematics

Group Theory

14 pages

Scientific paper

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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