McKay natural correspondences on characters

作者：Navarro Gabriel^*; Tiep Pham Huu; Vallejo Carolina

来源：Algebra and Number Theory, 2014, 8(8): 1839-1856.

DOI：10.2140/ant.2014.8.1839

• McKay conjecture
• self-normalizing Sylow subgroup
• p-decomposable Sylow normalizer

Let G be a finite group, let p be an odd prime, and let P is an element of Syl(p)(G). If N-G(P) = PCG(P), then there is a canonical correspondence between the ir-reducible complex characters of G of degree not divisible by p belonging to the principal block of G and the linear characters of P. As a consequence, we give a characterization of finite groups that possess a self-normalizing Sylow p-subgroup or a p-decomposable Sylow normalizer.

• 出版日期2014