$(1,4)$-groups with homocyclic regulator quotient of exponent $p^3$
Volume 138 / 2015
Colloquium Mathematicum 138 (2015), 131-144
MSC: Primary 20K15; Secondary 20K25, 20K35, 15A21, 16G60.
DOI: 10.4064/cm138-1-8
Abstract
The class of almost completely decomposable groups with a critical typeset of type $(1,4)$ and a homocyclic regulator quotient of exponent $p^3$ is shown to be of bounded representation type. There are precisely four near-isomorphism classes of indecomposables, all of rank $6$.
