A class of Bol loops with a subgroup of index two
Let be a finite group and the cyclic group of order . Consider the multiplicative operations , where , , . Define a new multiplication on by assigning one of the above multiplications to each quarter , for . We describe all situations in which the resulting quasigroup is a Bol loop. This paper also corrects an error in P. Vojtěchovsk’y: On the uniqueness of loops .