Testing Benson's Regularity Conjecture

2007/10/11 by David J. Green, Green, David J.
Computer Science · Mathematics · #20J06 #Commutative Algebra and Its Applications #FOS: Mathematics #Group Theory (math.GR) #Mathematical functions and polynomials #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0710.2311

openalex publication_date 2007/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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