Loops of Bol-Moufang type with a subgroup of index two
نویسندگان
چکیده
We describe all constructions for loops of Bol-Moufang type analogous to the Chein construction M(G, ∗, g0) for Moufang loops. Mathematics subject classification: 20N05.
منابع مشابه
The Varieties of Loops of Bol-Moufang Type
A loop identity is of Bol-Moufang type if two of its three variables occur once on each side, the third variable occurs twice on each side, and the order in which the variables appear on both sides is the same, viz. ((xy)x)z = x(y(xz)). Loop varieties defined by one identity of Bol-Moufang type include groups, Bol loops, Moufang loops and C-loops. We show that there are exactly 14 such varietie...
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