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Mathematics > Group Theory

arXiv:0710.2311 (math)
[Submitted on 11 Oct 2007 (v1), last revised 13 Aug 2008 (this version, v2)]

Title:Testing Benson's Regularity Conjecture

Authors: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.
Comments: 12 pages; now includes a-invariants; terminology changed to CM-defect
Subjects: Group Theory (math.GR)
MSC classes: 20J06
Cite as: arXiv:0710.2311 [math.GR]
  (or arXiv:0710.2311v2 [math.GR] for this version)
  https://doi.org/10.48550/arXiv.0710.2311

Submission history

From: David J. Green [view email]
[v1] Thu, 11 Oct 2007 18:12:13 UTC (12 KB)
[v2] Wed, 13 Aug 2008 13:17:46 UTC (13 KB)
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