Maximal Divisible Subgroups in Modular Group Rings over a Finite Ring or a Field

We describe up to an isomorphism the algebraic structure of themaximal divisible subgroup dV R[G] of the group V R[G] of normalized units in a group ring R[G], provided that G is an abelian group such that Gt/Gp is (infinite) bounded and R is a field of prime characteristic p. This supplies recent a...

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Bibliographic Details
Main Author: Peter Danchev
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2011-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/11224/6450