Capitulation for locally free class groups of orders of group algebras over number fields

Details Capitulation for locally free class groups of orders of group algebras over number fields Capitulation for locally free class groups of orders of group algebras over number fields

2006-11-27

arxiv.org/abs/math/0611820v4

Bull. London Math. Soc. 41 (2009) 541-548

Mathematics

Number Theory

9 pages, 7 figures, uses xy-pic. v2 covers the non-abelian case. v3 includes numerous minor corrections following referee's re

Scientific paper

We prove a capitulation result for locally free class groups of orders of
group algebras over number fields. As a corollary, we obtain an "arithmetically
disjoint capitulation result" for the Galois module structure of rings of
integers.

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