Location of Repository

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

By Peter Danchev

Abstract

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)

Topics: abelian groups, divisible subgroups, commutative rings, fields, binomial extensions, normalized units, cardinalities., Mathematics, QA1-939, Science, Q, DOAJ:Mathematics, DOAJ:Mathematics and Statistics
Publisher: Sociedade Brasileira de Matemática
Year: 2011
OAI identifier: oai:doaj.org/article:32d771b0a6744ab290886a9d5f1e6ebe
Journal:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://doaj.org/toc/2175-1188 (external link)
  • https://doaj.org/toc/0037-8712 (external link)
  • http://www.periodicos.uem.br/o... (external link)
  • https://doaj.org/article/32d77... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.