The essential ideal is a Cohen-Macaulay module

Details The essential ideal is a Cohen-Macaulay module The essential ideal is a Cohen-Macaulay module

2004-02-26

arxiv.org/abs/math/0402434v1

Mathematics

Group Theory

6 pages

Scientific paper

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.

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