%0 Journal Article
%T The torsion group of endotrivial modules
%A Jon F. Carlson
%A Jacques Th¨¦venaz
%J Mathematics
%D 2014
%I arXiv
%X Let 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.
%U http://arxiv.org/abs/1408.3982v2