… the group of endotrivial modules in the defining characteristic for all finite groups of Lie type,
… endotrivial modules over finite groups that are not p-groups. For this we need the following. …

… group schemes are analogous to p-groups in the realm of finite groups and here we can
call upon the classification by Dade of the endotrivial modules over abelian p-groups [17], [18] (…

… powers of an endotrivial module are again endotrivial. For the dihedral 2-groups all the
endotrivial modules can be obtained from a single endotrivial module using these operations: …

… For one thing we show that generators for the entire group of endotrivial modules, including
… Indeed, all endotrivial module can be found by carving up the known endotrivial modules, …

… representation theorists is to completely determine the structure of T ( G ) for all finite groups,
and to determine explicit constructions for generators, an analogy that we will adopt in the …

… ] on decompositions and tensor products of endo-trivial modules. In Sect. 6, we prove a
classification of the endo-trivial modules for the extraspecial groups of rank 2. The final step in …

… for endotrivial modules … groups possessing a faithful simple endotrivial module is at most
2. As a second application we complete the proof that principal blocks of finite simple groups …

… endotrivial modules for the finite groups of Lie type where \(p\) is the defining characteristic.
Here, we consider the case of finite groups … the group of endotrivial modules has either rank …

… A key fact is that the set $T(G)$ of isomorphism classes of endotrivial modules form a … of
two endotrivial modules is also endotrivial. We call $T(G)$ the group of endotrivial modules of $G…

… theory of finite groups. Let us only mention that the classification of endo-trivial modules is
… of endo-permutation modules, and that endo permutation modules play an important role in …