Factorisability and the arithmetic of wildly ramified Galois extensions
Factorisability and wildly ramified Galois extensions
Let be an abelian extension of -adic fields, and let denote the valuation ring of . We study ideals of the valuation ring of as integral representations of the Galois group . Assuming is absolutely unramified we use techniques from the theory of factorisability to investigate which ideals are isomorphic to an -order in the group algebra . We obtain several general and also explicit new results.
Fröhlich's and Chinburg's conjectures in the factorisability defect class group.
Functional equations for L-functions of arithmetic orders.