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

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

2001-01-17

arxiv.org/abs/math/0101142v4

Acta Mathematica Academiae Paedagogiace Nyiregyhaziensis, No.17, 2001, p.141-149

Mathematics

Rings and Algebras

12 pages, LaTeX

Scientific paper

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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