Gras-Type Conjectures for Function Fields
Cristian D. Popescu
Abstract
Based on results obtained in a companion paper [MSRI preprint 1997-002], we construct groups of special S--units for function fields of characteristic p>0, and show that they satisfy Gras--type Conjectures. We use these results in order to give a new proof of Chinburg's Ω3--Conjecture on the Galois module structure of the group of S--units, for cyclic extensions of prime degree of function fields.
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