A McKay bijection for projectors

• Gabriel Navarro ^[1]
  1. [1] Universitat de València

     Universitat de València

     Valencia, España

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 3, 2022, págs. 1013-1028
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • If F is a saturated formation of groups, we define a canonical subset IrrF′(G) of the irreducible complex characters of a finite solvable group G. If H is an F-projector of G, we show that |IrrF′(G)|=|Irr(NG(H)/H′)|, where H′=[H,H] is the derived subgroup of H. In particular, if F is the class of p-groups, this reproves the solvable case of the celebrated McKay conjecture.