Finite group characters on free resolutions

F Galetto - Journal of Symbolic Computation, 2022 - Elsevier
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 …

Degrees of regular sequences with a symmetric group action

F Galetto, AV Geramita, DL Wehlau - Canadian Journal of …, 2019 - cambridge.org
We consider ideals in a polynomial ring that are generated by regular sequences of
homogeneous polynomials and are stable under the action of the symmetric group …

Setting the scene for Betti characters

F Galetto - Journal of Software for Algebra and Geometry, 2023 - msp.org
Finite group actions on free resolutions and modules arise naturally in many interesting
examples. Understanding these actions amounts to describing the terms of a free resolution …