Maximal divisible subgroups in modular group rings of p-mixed abelian groups

The isomorphism structure of the maximal divisible subgroup of the subgroup Vp(R(G); H) Id R(G) of the normalized unit group V R(G) in a commutative group ring R(G) is completely described only in terms of R, G and H whenever R is a commutative unital ring of prime characteristic p and G is a p-mixed abelian group. In particular, the maximal divisible subgroup of V R(G) is characterized. This extends a result due to Nachev (Commun. Algebra, 1995) as well as a result due to the author (Commun. Algebra, 2010).