Half-automorphism group of a class of Bol loops

Dylene Agda Souza de Barros, Giliard Souza dos Anjos

A Bol loop is a loop that satisfies the Bol identity $(xy.z)y=x(yz.y)$. If $L$ is a loop and $f:L\to L$ is a bijection such that $f(xy)\in \{f(x)f(y),f(y)f(x)\}$, for every $x$, $y\…