Publication

Endo-trivial modules: a reduction to p'-central extensions

Jacques Thévenaz, Caroline Lassueur
2017
Journal Articles

Abstract

We 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.

Official source

https://infoscience.epfl.ch/entities/publication/b254cc18-d28c-477a-9925-1bdc77ff5117

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Endo-trivial modules: a reduction to p'-central extensions

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