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



Document title: Maximal Divisible Subgroups in Modular Group Rings over a Finite Ring or a Field
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000398551
ISSN: 0037-8712
Authors:
Year:
Volumen: 29
Number: 1
Pages: 67-70
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English 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)
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Algebra,
Grupos abelianos,
Anillos conmutativos,
Grupos divisibles
Keyword: Mathematics,
Pure mathematics,
Algebra,
Abelian groups,
Commutative rings,
Divisible groups
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