Carlson, Jon F.Thévenaz, Jacques2014-08-182014-08-182014-08-18201510.2140/ant.2015.9.749https://infoscience.epfl.ch/handle/20.500.14299/105868WOS:000354037100008Let G be a finite group and let T(G) be the abelian group of equivalence classes of endotrivial kG-modules, where k is an algebraically closed field of characteristic p. We determine, in terms of the structure of G, the kernel of the restriction map from T(G) to T(S), where S is a Sylow p-subgroup of G, in the case when S is abelian. This provides a classification of all torsion endotrivial kG-modules in that case.modular representation theoryendotrivial modulestext::journal::journal article::research article