Indecomposable (1,3)-Groups and a matrix problem

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Arnold D. M., Mader A., Mutzbauer O., SOLAK E.

CZECHOSLOVAK MATHEMATICAL JOURNAL, vol.63, no.2, pp.307-355, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 2
  • Publication Date: 2013
  • Doi Number: 10.1007/s10587-013-0020-6
  • Journal Name: CZECHOSLOVAK MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.307-355
  • Middle East Technical University Affiliated: Yes

Abstract

Almost completely decomposable groups with a critical typeset of type (1, 3) and a p-primary regulator quotient are studied. It is shown that there are, depending on the exponent of the regulator quotient p (k) , either no indecomposables if k a (c) 1/2 2; only six near isomorphism types of indecomposables if k = 3; and indecomposables of arbitrary large rank if k a (c) 3/4 4.