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Factorisability and wildly ramified Galois extensions. (English) Zbl 0727.11048
Let L/K be an abelian extension of p-adic fields, and let \({\mathcal O}\) denote the valuation ring of K. We study ideals of the valuation ring of L as integral representations of the Galois group Gal(L/K). Assuming K is absolutely unramified we use techniques from the theory of factorisability to investigate which ideals are isomorphic to an \({\mathcal O}\)-order in the group algebra K[Gal(L/K)]. We obtain several general and also explicit new results.
Reviewer: D.J.Burns (London)

MSC:
11R32 Galois theory
11S20 Galois theory
11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers
11S23 Integral representations
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