Testing Benson's Regularity Conjecture

Details Testing Benson's Regularity Conjecture Testing Benson's Regularity Conjecture

2007-10-11

arxiv.org/abs/0710.2311v2

Mathematics

Group Theory

12 pages; now includes a-invariants; terminology changed to CM-defect

Scientific paper

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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