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arXiv · 0710.2311

Testing Benson's Regularity Conjecture

David J. Green
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Abstract

D. J. Benson conjectures that the Castelnuovo-Mumford regularity of a group cohomology ring is always zero. More generally he conjectures that the cohomology ring always has a system of parameters satisfying a property he calls very strong quasi-regular. Using computer calculations we find that the more general conjecture holds for all groups of order less than 256.

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David J. Green. 2008-08-13. Testing Benson's Regularity Conjecture. https://arxiv.org/abs/0710.2311

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