Loading...
research article
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.
Loading...
Name
CaMaTh-JEMS.pdf
Type
Preprint
Access type
openaccess
Size
358.53 KB
Format
Adobe PDF
Checksum (MD5)
eef186d8ff40580c3050ac72fd1b51b0