Lassueur, CarolineThévenaz, Jacques2016-01-142016-01-142016-01-14201710.2140/pjm.2017.287.423https://infoscience.epfl.ch/handle/20.500.14299/122225WOS:000400100800007We examine how, in prime characteristic p, the group of endotrivial modules of a finite group G and the group of endotrivial modules of a quotient of G modulo a normal subgroup of order prime to p are related. There is always an inflation map, but examples show that this map is in general not surjective. We prove that the situation is controlled by a single central extension, namely, the central extension given by a p′-representation group of the quotient of G by its largest normal p′-subgroup.endotrivial modulecentral extensiontext::journal::journal article::research article