Capitulation for locally free class groups of orders of group algebras over number fields
Number Theory
2014-02-26 v4
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.
Keywords
Cite
@article{arxiv.math/0611820,
title = {Capitulation for locally free class groups of orders of group algebras over number fields},
author = {Cornelius Greither and Henri Johnston},
journal= {arXiv preprint arXiv:math/0611820},
year = {2014}
}
Comments
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