Wreath Products in the Unit Group of Modular Group Algebras of 2-groups of Maximal Class

Abstract

We study the unit group of the modular group algebra KG, where G is a 2-group of maximal class. We prove that the unit group of KG possesses a section isomorphic to the wreath product of a group of order two with the commutator subgroup of the group G.Comment: 12 pages, LaTe