The variety of subadditive functions for finite group schemes
Volume 239 / 2017
Fundamenta Mathematicae 239 (2017), 289-296
MSC: Primary 16G10; Secondary 20C20, 20G10, 20J06.
DOI: 10.4064/fm262-1-2017
Published online: 10 May 2017
Abstract
For a finite group scheme, the subadditive functions on finite-dimensional representations are studied. It is shown that the projective variety of the cohomology ring can be recovered from the equivalence classes of subadditive functions. Using Crawley-Boevey’s correspondence between subadditive functions and endofinite modules, we obtain an equivalence relation on the set of point modules introduced in our joint work with Iyengar and Pevtsova. This corresponds to the equivalence relation on $\pi $-points introduced by Friedlander and Pevtsova.
