The class of (1,3)-groups with homocyclic regulator quotient of exponent p(4) has bounded representation type

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

JOURNAL OF ALGEBRA, vol.400, pp.43-55, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 400
  • Publication Date: 2014
  • Doi Number: 10.1016/j.jalgebra.2013.10.029
  • Journal Name: JOURNAL OF ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.43-55
  • Middle East Technical University Affiliated: Yes

Abstract

The class of almost completely decomposable groups with a critical typeset of type (1,3) and a homocyclic regulator quotient of exponent p(4) is shown to be of bounded representation type. There are only nine near-isomorphism types of indecomposables, all of rank <= 6. (C) 2013 Elsevier Inc. All rights reserved.