Finite Group Characters on Free Resolutions
ORCID ID
https://orcid.org/0000-0002-4573-7933
Document Type
Article
Publication Date
11-2022
Publication Title
Journal of Symbolic Computation
Abstract
Under reasonable assumptions, a group action on a module extends to the minimal free resolutions of the module. Explicit descriptions of these actions can lead to a better understanding of free resolutions by providing, for example, convenient expressions for their differentials or alternative characterizations of their Betti numbers. This article introduces an algorithm for computing characters of finite groups acting on minimal free resolutions of finitely generated graded modules over polynomial rings
Repository Citation
Galetto, Federico, "Finite Group Characters on Free Resolutions" (2022). Mathematics and Statistics Faculty Publications. 348.
https://engagedscholarship.csuohio.edu/scimath_facpub/348
DOI
10.1016/j.jsc.2022.02.001
Volume
117
