The unit group of some special semi-simple group algebras

Abstract

Let G be a non-abelian group of order 2ⁿ which has a cyclic subgroup of index 2 and let U ( [G]) be the unit group of the group algebra [G] of G over the field containing q = p^kelements. In this paper, recurrence relations are established to determine the structure of the unit group of [G] when p > 2.