THE CLASS OF (2,2)-GROUPS WITH HOMOCYCLIC REGULATOR QUOTIENT OF EXPONENT p(3) HAS BOUNDED REPRESENTATION TYPE
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, vol.99, no.1, pp.12-29, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 99 Issue: 1
- Publication Date: 2015
- Doi Number: 10.1017/s1446788714000652
- Journal Name: JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.12-29
- Middle East Technical University Affiliated: Yes
Abstract
The class of almost completely decomposable groups with a critical typeset of type (2,2) and a homocyclic regulator quotient of exponent p(3) is shown to be of bounded representation type. There are only 16 isomorphism at p types of indecomposables, all of rank 8 or lower.