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Some examples of Bol loops. (English) Zbl 0545.20060

Bol loops satisfy the identity \(((xy)z)y=x((yz)y)\). Continuing a series of papers on Bol loops of order 4n, the authors develop eight constructions of such Bol loops, all non-Moufang. One of these constructions yields the only Bol loop of order 12 with two generators. The loops resulting from these constructions are shown to be non- isomorphic to each other and to satisfy Lagrange’s theorem and Sylow’s main theorem.
Reviewer: R.Artzy

MSC:

20N05 Loops, quasigroups
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