Álgebras y grupos de Dolph

Abstract

A finite Hopf crossed product whose base ring is a finite field will be called a Dolph algebra, and the corresponding group of units will be called a Dolph group. Assuming known the crossed product of a ring and a group under a crossed mapping [1], the units of the cross products Z2 C2 and Z3 C2 are calculated. Furthermore, we give concrete examples of 4 classes of Hopf crossed products.