Testing Benson's Regularity Conjecture
Group Theory
2008-08-13 v2
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.
Cite
@article{arxiv.0710.2311,
title = {Testing Benson's Regularity Conjecture},
author = {David J. Green},
journal= {arXiv preprint arXiv:0710.2311},
year = {2008}
}
Comments
12 pages; now includes a-invariants; terminology changed to CM-defect