Group actions on rings and the Čech complex

    Research output: Contribution to journalArticlepeer-review

    73 Downloads (Pure)


    We have previously shown that, when a finite group G acts on a polynomial ring S in n variables over a finite field k, only finitely many isomorphism classes of indecomposable kG-modules occur as summands of S. We have also shown that the regularity of the invariant subring SG is at most zero, which has various consequences, for example SG is generated in degrees at most n(|G|-1) (provided n, |G|≥2). Both of these theorems depend on the Structure Theorem of Karagueuzian and the author, which is proved by means of a long and complicated calculation. The aim of this paper is to prove these results using a more conceptual method. © 2013 Elsevier Ltd.
    Original languageEnglish
    Pages (from-to)291-301
    Number of pages10
    JournalAdvances in Mathematics
    Publication statusPublished - Jun 2013


    • Čech complex
    • Invariant
    • Regularity


    Dive into the research topics of 'Group actions on rings and the Čech complex'. Together they form a unique fingerprint.

    Cite this