Let be a field of characteristic . Let be a finite group of order divisible by and a -Sylow subgroup of . We describe the kernel of the restriction homomorphism , for the group of endotrivial representations. Our description involves functions that we call weak -homomorphisms. These are generalizations to possibly non-normal of the classical homomorphisms appearing in the normal case.
Cite this article
Paul Balmer, Modular representations of finite groups with trivial restriction to Sylow subgroups. J. Eur. Math. Soc. 15 (2013), no. 6, pp. 2061–2079DOI 10.4171/JEMS/414