The torsion group of endotrivial modules
Group Theory
2016-01-20 v2
Abstract
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.
Cite
@article{arxiv.1408.3982,
title = {The torsion group of endotrivial modules},
author = {Jon F. Carlson and Jacques Thévenaz},
journal= {arXiv preprint arXiv:1408.3982},
year = {2016}
}