Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup

Carlson, Jon F.Mazza, NadiaThévenaz, Jacques2010-04-222010-04-222010-04-22201310.4171/Jems/358https://infoscience.epfl.ch/handle/20.500.14299/49597WOS:000314961500005Let 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 endotrivial kP-modules and some projective modules. This provides a description of the group T(G) of endotrivial kG-modules.modular representations of finite groupsquaternion groupsemi-dihedral groupEndotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgrouptext::journal::journal article::research article