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

2001/01/31 by Alexander B. Konovalov
Mathematics · #math.RA #math.GR #msc:16S34 #msc:16U60 #msc:20C05

paper · pdf

published as Acta Mathematica Academiae Paedagogiace Nyiregyhaziensis, No.17, 2001, p.141-149 · 12 pages, LaTeX

arxiv created 2001/12/19 · arxiv updated 2009/11/30

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.

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