Almost completely decomposable groups and unbounded representation type

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

JOURNAL OF ALGEBRA, vol.349, no.1, pp.50-62, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 349 Issue: 1
  • Publication Date: 2012
  • Doi Number: 10.1016/j.jalgebra.2011.10.019
  • Journal Name: JOURNAL OF ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.50-62
  • Middle East Technical University Affiliated: Yes

Abstract

Almost completely decomposable groups with a regulating regulator and a p-primary regulator quotient are studied. It is shown that there are indecomposable such groups of arbitrarily large rank provided that the critical typeset contains some basic configuration and the exponent of the regulator quotient is sufficiently large. (C) 2011 Elsevier Inc. All rights reserved.