Depth and transfer maps in the cohomology of groups.
Let be a finite group with a Sylow 2-subgroup which is either quaternion or semi-dihedral. Let be an algebraically closed field of characteristic 2. We prove the existence of exotic endotrivial -modules, whose restrictions to are isomorphic to the direct sum of the known exotic endotrivial -modules and some projective modules. This provides a description of the group of endotrivial -modules.
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