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The essential ideal is a Cohen-Macaulay module |
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| Authors: | David J. Green |
| Affiliation: | Department of Mathematics, University of Wuppertal, D-42097 Wuppertal, Germany |
| Abstract: | Let  be a finite  -group which does not contain a rank two elementary abelian  -group as a direct factor. Then the ideal of essential classes in the mod- cohomology ring of  is a Cohen-Macaulay module whose Krull dimension is the  -rank of the centre of  . This basically answers in the affirmative a question posed by J. F. Carlson (Question 5.4 in Problems in the calculation of group cohomology, 1999). |
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