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If $K$ is a field of finite characteristic $p$, $G$ is a cyclic group oforder $q=p^\alpha$, $U$ and $W$ are indecomposable $KG$-modules with $\dim U=m$and $\dim W=n$, and $\lambda(m,n,p)$ is a standard Jordan partition of $ m n$,we describe how to find a generator for each of the indecomposable componentsof the $KG$-module $U \otimes W$.

Generators for Decompositions of Tensor Products of Modules associated with standard Jordan partitions