Capitulation for locally free class groups of orders of group algebras over number fields
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 2006
- DOI:
- 10.48550/arXiv.math/0611820
- arXiv:
- arXiv:math/0611820
- Bibcode:
- 2006math.....11820G
- Keywords:
-
- Mathematics - Number Theory;
- 11R65;
- 11R33
- E-Print:
- 9 pages, 7 figures, uses xy-pic. v2 covers the non-abelian case. v3 includes numerous minor corrections following referee's report. v4 corrects error in Remark 1.5