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 agroup 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’sresults in Rad. Mat. (2004), Commun. Algebra (2011), Bull. Braz. Math. Soc.(2010) and J. Alg. Numb. Th. Acad. (2010).
@article{11224,
title = {Maximal Divisible Subgroups in Modular Group Rings - doi: 10.5269/bspm.v29i1.11224},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {28},
year = {2010},
doi = {10.5269/bspm.v29i1.11224},
language = {EN},
url = {http://dml.mathdoc.fr/item/11224}
}
Danchev, Peter. Maximal Divisible Subgroups in Modular Group Rings - doi: 10.5269/bspm.v29i1.11224. Boletim da Sociedade Paranaense de Matemática, Tome 28 (2010) . doi : 10.5269/bspm.v29i1.11224. http://gdmltest.u-ga.fr/item/11224/