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

• Published in: Journal of the European Mathematical Society (ISSN: 1435-9855), vol. 15, p. 157-177
• Zurich: European Mathematical Soc, 2013

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.

Keywords: modular representations of finite groups ; quaternion group ; semi-dihedral group

Reference

• EPFL-ARTICLE-148438
• doi:10.4171/Jems/358
• View record in Web of Science

Record created on 2010-04-22, modified on 2017-05-12