no. 3
Galois module structure of ideals in wildly ramified cyclic extensions of degree p 2
Annales de l'Institut Fourier, Tome 45 (1995) no. 3, pp. 625-647

For L/K, any totally ramified cyclic extension of degree p 2 of local fields which are finite extensions of the field of p-adic numbers, we describe the ℤ p [ Gal (L/K)]-module structure of each fractional ideal of L explicitly in terms of the 4p+1 indecomposable ℤ p [ Gal (L/K)]-modules classified by Heller and Reiner. The exponents are determined only by the invariants of ramification.

Pour n’importe quelle extension cyclique ramifiée de degré p 2 des corps locaux L/K qui sont des extensions finies du corps des nombres p-adiques, nous proposons une description de la ℤ p [ Gal (L/K)]-structure de chaque idéal fractionnaire de L utilisant les 4p+1 modules indécomposables sur ℤ p [ Gal (L/K)] que Heller et Reiner ont classifié. Les exposants sont entièrement déterminés par les invariants de la ramification.

Elder, Gove Griffith. Galois module structure of ideals in wildly ramified cyclic extensions of degree $p^2$. Annales de l'Institut Fourier, Tome 45 (1995) no. 3, pp. 625-647. doi: 10.5802/aif.1468
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     title = {Galois module structure of ideals in wildly ramified cyclic extensions of degree $p^2$},
     journal = {Annales de l'Institut Fourier},
     pages = {625--647},
     year = {1995},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {45},
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