We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK


93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Endotrivial modules over groups with quaternion...
View graph of relations

« Back

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

Research output: Contribution to journalJournal article


Journal publication date2013
JournalJournal of the European Mathematical Society
Number of pages21
Original languageEnglish


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.