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

By Peter Danchev


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 author’s results in Rad. Mat. (2004), Commun. Algebra (2011), Bull. Braz. Math. Soc. (2010) and J. Alg. Numb. Th. Acad. (2010)

Topics: abelian groups, divisible subgroups, commutative rings, fields, binomial extensions, normalized units, cardinalities., Mathematics, QA1-939, Science, Q, DOAJ:Mathematics, DOAJ:Mathematics and Statistics
Publisher: Sociedade Brasileira de Matemática
Year: 2011
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