On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras
Radha Kessar and Markus Linckelmann City University London Northampton Square
London EC1V 0HB
United Kingdom
Abstract
Symonds' proof of Benson's regularity conjecture implies that the regularity of the 
cohomology of a fusion system and that of the Hochschild cohomology of a p-block of 
a finite group is at most zero. Using results of Benson, Greenlees, and Symonds, we 
show that in both cases the regularity is equal to zero.