The class of almost completely decomposable groups with a critical typeset of type (1,4) and a homocyclic regulator quotient of exponent p³ is shown to be of bounded representation type. There are precisely four near-isomorphism classes of indecomposables, all of rank 6.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-1-8, author = {David M. Arnold and Adolf Mader and Otto Mutzbauer and Ebru Solak}, title = {(1,4)-groups with homocyclic regulator quotient of exponent p$^3$}, journal = {Colloquium Mathematicae}, volume = {139}, year = {2015}, pages = {131-144}, zbl = {1326.20054}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-1-8} }
David M. Arnold; Adolf Mader; Otto Mutzbauer; Ebru Solak. (1,4)-groups with homocyclic regulator quotient of exponent p³. Colloquium Mathematicae, Tome 139 (2015) pp. 131-144. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-1-8/