数域上群代数阶的局部自由类群的上同调消灭
数论
2014-02-26 v4
摘要
我们证明了数域上群代数阶的局部自由类群的一个上同调消灭结果。作为推论，我们获得了整数环的Galois模结构的一个“算术不相交上同调消灭结果”。
引用
@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}
}
备注
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