Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup
Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup
Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2. We prove the existence of exotic endotrivial kG -modules, whose restrictions to P are isomorphic to the direct sum of the known exotic …