# The variety of subadditive functions for finite group schemes

Dave Benson, Henning Krause

Research output: Contribution to journalArticle

### 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 -points introduced by Friedlander and Pevtsova.
Original language English 289-296 8 Fundamenta Mathematicae 239 10 May 2017 https://doi.org/10.4064/fm262-1-2017 Published - 2017

### Fingerprint

Group Scheme
Finite Group
Equivalence relation
Module
Cohomology Ring
Projective Variety
Equivalence class
Set of points
Correspondence

### Keywords

• endofinite module
• stable module category
• finite group scheme

### Cite this

The variety of subadditive functions for finite group schemes. / Benson, Dave; Krause, Henning.

In: Fundamenta Mathematicae, Vol. 239, 2017, p. 289-296.

Research output: Contribution to journalArticle

Benson, Dave ; Krause, Henning. / The variety of subadditive functions for finite group schemes. In: Fundamenta Mathematicae. 2017 ; Vol. 239. pp. 289-296.
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