Cohomology of polynomial functiors on free groups
Teimuraz Pirashvili
Christine Vespa
Aurélien Djament

Abstract
We show that extension groups between two polynomial functors on free groups are the same in the category of all functors and in a subcategory of polynomial functors of bounded degree. The proof relies on functorial properties of the group ring of free groups and its filtration by powers of the augmentation ideal. We give some applications, in particular in term of homological dimension.
Cite this article
Teimuraz Pirashvili, Christine Vespa, Aurélien Djament, Cohomology of polynomial functiors on free groups. Doc. Math. 21 (2016), pp. 205–222
DOI 10.4171/DM/531