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

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<mark>Journal publication date</mark>2013
<mark>Journal</mark>Journal of the European Mathematical Society
Issue number1
Number of pages21
Pages (from-to)157-177
Publication StatusPublished
<mark>Original language</mark>English


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 endotrivial kP-modules and some projective modules. This provides a description of the group T(G) of endotrivial kG-modules.