Testing Benson’s Regularity Conjecture
نویسنده
چکیده
D. J. Benson conjectures that the Castelnuovo-Mumford regularity of the cohomology ring of a finite group is always zero. More generally he conjectures that there is always a very strongly quasi-regular system of parameters. Computer calculations show that the second conjecture holds for all groups of order less than 256.
منابع مشابه
On the Castelnuovo-mumford Regularity of the Cohomology Ring of a Group
Dave Benson, in [2], conjectured that for any finite group G and any prime p the Castelnuovo-Mumford regularity of the cohomology ring, H(G,Fp), is zero. He showed that reg(H(G,Fp)) ≥ 0 and succeeded in proving equality when the difference between the dimension and the depth is at most two. The purpose of this paper is to prove Benson’s Regularity Conjecture as a corollary of the following result.
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تاریخ انتشار 2007