Capitulation for Locally Free Class Groups of Orders of Abelian Group Algebras over Number Fields
نویسندگان
چکیده
We prove a capitulation result for locally free class groups of orders of abelian group algebras over number fields. As a corollary, we obtain an “abelian arithmetically disjoint capitulation result” for the Galois module structure of rings of integers.
منابع مشابه
Capitulation for Locally Free Class Groups of Orders of Group Algebras over Number Fields
We prove a capitulation result for locally free class groups of orders of group algebras over number fields. This result allows some control over ramification and so as a corollary we obtain an “arithmetically disjoint capitulation result” for the Galois module structure of rings of integers.
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تاریخ انتشار 2006