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The Spiegelungssatz for the Carlitz module

2012/12/13 by Bruno Anglès, Anglès, Bruno, Lenny Taelman +1
Mathematics · #11G09 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11G09

paper · pdf · doi:10.48550/arxiv.1212.3115

This is an addendum to arXiv:1110.0292

arxiv created 2012/12/13 · arxiv updated 2012/12/14

Abstract

In this addendum to arXiv:1110.0292 we prove a function field analogue of the Spiegelungssatz. It provides a relation between the Galois module structure of the class group of a cyclotomic function field, and the Galois module structure of the class module introduced by the second author. The result is already implicit in earlier work of the authors, but not stated explicitly.

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