Maximal Divisible Subgroups in Modular Group Rings - doi: 10.5269/bspm.v29i1.11224

Abstract

We describe up to an isomorphism the algebraic structure of the
maximal 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).