The essential ideal is a Cohen-Macaulay module
群论
2015-02-23 v1 交换代数
摘要
Let G be a finite p-group which does not contain a rank two elementary abelian p-group as a direct factor. Then the ideal of essential classes in the mod-p cohomology ring of G is a Cohen-Macaulay module whose Krull dimension is the p-rank of the centre of G. This basically answers in the affirmative a question posed by J. F. Carlson.
引用
@article{arxiv.math/0402434,
title = {The essential ideal is a Cohen-Macaulay module},
author = {David J. Green},
journal= {arXiv preprint arXiv:math/0402434},
year = {2015}
}
备注
6 pages