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Zbl pre05565858
Greither, Cornelius; Johnston, Henri
Capitulation for locally free class groups of orders of group algebras over number fields. (English)
[J] Bull. Lond. Math. Soc. 41, No. 3, 541-548 (2009). ISSN 0024-6093; ISSN 1469-2120

Summary: 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.

MSC 2000:: *11R65 Class groups and Picard groups of orders
11R33 Integral representations related to algebraic numbers

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