Some finiteness results in the category U

Cuong Nguyen The (1) , Lionel Schwartz (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

This note investigate some finiteness properties of the category U of unstable modules. One shows finiteness properties for the injective resolution of finitely generated unstable modules. One also shows a stabilization result under Frobenius twist for Ext-groups.

Mots clés: Unstable modules; injective resolutions; Frobenius twist

Domaines: Topologie algébrique [math.AT]

Cuong Nguyen The, Lionel Schwartz. Some finiteness results in the category U. 2014. ⟨hal-00936529v2⟩