On the castelnuovo-mumford regularity of the cohomology of fusion systems and of the hochschild cohomology of block algebras

Radha Kessar; Markus Linckelmann

doi:10.1017/CBO9781316227343.020

On the castelnuovo-mumford regularity of the cohomology of fusion systems and of the hochschild cohomology of block algebras

Radha Kessar, Markus Linckelmann

Pure Mathematics

City University of London

Research output: Chapter in Book/Conference proceeding › Chapter › peer-review

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.

Original language	English
Title of host publication	Groups St Andrews 2013
Editors	C. M. Campbell, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal
Place of Publication	Cambridge
Publisher	Cambridge University Press
Pages	324-330
Number of pages	7
ISBN (Electronic)	9781316227343
ISBN (Print)	9781107514546
DOIs	https://doi.org/10.1017/CBO9781316227343.020
Publication status	Published - 5 Sept 2015

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On the castelnuovo-mumford regularity of the cohomology of fusion systems and of the hochschild cohomology of block algebras. / Kessar, Radha; Linckelmann, Markus.
Groups St Andrews 2013. ed. / C. M. Campbell; M. R. Quick; E. F. Robertson; C. M. Roney-Dougal. Cambridge: Cambridge University Press , 2015. p. 324-330.

Research output: Chapter in Book/Conference proceeding › Chapter › peer-review

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AB - 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.

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On the castelnuovo-mumford regularity of the cohomology of fusion systems and of the hochschild cohomology of block algebras

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