Maximal Divisible Subgroups in Modular Group Rings - doi: 10.5269/bspm.v29i1.11224
DOI :
https://doi.org/10.5269/bspm.v29i1.11224Mots-clés :
abelian groups, divisible subgroups, commutative rings, normalized unitsRésumé
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).
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2010-12-22
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Research Articles
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