Bi-gyrogroup: The group-like structure induced by bi-decomposition of groups

Teerapong Suksumran, Abraham A. Ungar

The decomposition $\Gamma =BH$ of a group $\Gamma$ into a subset $B$ and a subgroup $H$ of $\Gamma$ induces, under general conditions, a group-like structure for $B$, known as a gyrogroup. The fam…