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The invariants of modular indecomposable representations of Z p 2

We consider the invariant ring for an indecomposable representation of a cyclic group of order p 2 over 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 ,i s of degree two.