Modular representations of finite groups with trivial restriction to Sylow subgroups

  • Paul Balmer

    UCLA, Los Angeles, USA

Abstract

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. 2061–2079

DOI 10.4171/JEMS/414