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Showing 1 to 2 of 2 for “"Stickelberger"”.
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Stickelberger Elements and Gross-Stark Units via Adelic Eisenstein Classes
… us to establish novel divisibility properties of Stickelberger elements associated with abelian extensions of totally real fields. As an additional application, we obtain a cohomological formula for Gross-Stark units, akin to the one previously provided by Dasgupta and Spiess using Shintani …
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On the Galois module structure of the units and ray classes of a real abelian number field
… ray class groups in the vein of the classical Stickelberger theorems. This is made possible by generalizing a theorem of Rubin which in turn allows us to describe a relationship between the Galois module structure of certain explicit quotients of units and the Galois module structure of the ray …