Abstract
Recently, much work has been done to investigate Galois module structure of local field extensions, particularly through the use of Galois scaffolds. Given a totally ramified p-extension of local fields L/K, a Galois scaffold gives us a K-basis for K[G] whose effect on the valuation of elements of L is easy to determine. In 2013, N.P. Byott and G.G. Elder gave sufficient conditions for the existence of Galois scaffolds for cyclic extensions of degree p2 in characteristic p. We take their work and adapt it to cyclic extensions of degree p2 in characteristic 0.
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