Authors: Caroline Lassueur & Jacques Thévenaz Title: Endo-trivial modules: a reduction to p’-central extensions Abstract: We examine the behaviour of the group of endo-trivial modules under inflation from a quotient modulo a normal subgroup of order prime to~$p$. We prove that everything is controlled by a p’-representation group of the quotient. Examples show that this inflation map is in general not surjective. Status: submitted