Dolph Algebras and Dolph Groups




Finite groups, crossed products, 2-cocycle, group of units, Dolph algebras


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[X] ⟨X2⟩ ⋊f C2 and Z3[X] ⟨X2⟩ ⋊f C2 are calculated. Furthermore, we give concrete examples of 4 classes of Hopf crossed products.


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How to Cite

Ccolque Taipe, F. C. (2023). Dolph Algebras and Dolph Groups. Selecciones Matemáticas, 10(02), 352 - 369.