When is a Bol loop Moufang?

Details When is a Bol loop Moufang? When is a Bol loop Moufang?

2008-03-14

arxiv.org/abs/0803.2205v3

Mathematics

Group Theory

11 pages. V.2: new result: no SRAR loops of odd order; other minor revisions. V3: final version with referee's suggestions, to

Scientific paper

There are a number of identities which, if satisfied by a Bol loop, imply
that the loop is actually Moufang. In this paper we show that in a number of
cases, the Moufang identity is also forced not by a single identity, but by
giving elements a choice of equations to satisfy.

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