@phdthesis{Solak2007, author = {Solak, Ebru}, title = {Almost Completely Decomposable Groups of Type (1,2)}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-24794}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2007}, abstract = {A torsion free abelian group of finite rank is called almost completely decomposable if it has a completely decomposable subgroup of finite index. A p-local, p-reduced almost completely decomposable group of type (1,2) is briefly called a (1,2)-group. Almost completely decomposable groups can be represented by matrices over the ring Z/hZ, where h is the exponent of the regulator quotient. This particular choice of representation allows for a better investigation of the decomposability of the group. Arnold and Dugas showed in several of their works that (1,2)-groups with regulator quotient of exponent at least p^7 allow infinitely many isomorphism types of indecomposable groups. It is not known if the exponent 7 is minimal. In this dissertation, this problem is addressed.}, language = {en} }