Yury Chapovsky (Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)

An explicit construction of cocycles for the cocycle bicrossed product of groups

The cocycle bicrossed product of groups, proposed for finite groups by G. I. Kac in 1968, can be used, in particular, for constructing examples of quantum groups. We give explicit formulas for calculating the cocycles for the bicrossed product.