Modules over the cyclic group of prime order
We describe the structure of all finitely generated modules over the integral group ring ZG, G=<g> cyclic of prime order p. The additive groups of the modules in question need not be torsion free. We give a moderately detailed description of the indecomposable ZG-modules, and determine when two direct sums of such modules are isomorphic to each other.
Unable to display preview. Download preview PDF.