2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166862D. 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 256.12 pages; now includes a-invariants; terminology changed to CM-defectGroup Theory20J06text