title: the invariants of modular indecomposable representations of Z_{p^2} authors: Mara D. Neusel and M\"ufit Sezer abstract: We consider the invariant ring for an indecomposable representation of a cyclic group of order p^2over a field F of characteristic p. We describe a set of F-algebra generators of this ring of invariants, and thus derive an upper bound for the largest degree of an element in a minimal generating set for the ring of invariants. This bound, as a polynomial in p, is of degree two.