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


Published in:
Journal of the European Mathematical Society, 15, 157-177
Year:
2013
Publisher:
Zurich, European Mathematical Soc
ISSN:
1435-9855
Keywords:
Laboratories:




 Record created 2010-04-22, last modified 2018-03-17

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