On subgroups of ZJ type of an $\goth F$-injector for fitting classes $\goth F$ between $\goth E_{p^*p}$ and $\goth E_{p^*}\goth S_p$

• Autores: A. Martínez Pastor
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 38, Nº 2, 1994, págs. 411-425
• Idioma: inglés
• Títulos paralelos:
  • Subgrupos del tipo ZJ de un F-inyector para clases F Fitting entre Ep*p y Ep*Sp
• Enlaces
  • Texto completo
• Resumen

  • Let $G$ be a finite group and $p$ a prime. We consider an $\goth F$-injector $K$ of $G$, being $\goth F$ a Fitting class between $\goth E_{p^*p}$ and $\goth E_{p^*}\goth S_p$, and we study the structure and normality in $G$ of the subgroups $ZJ(K)$ and $ZJ^*(K)$, provided that $G$ verify certain conditions, extending some results of G. Glauberman (A characteristic subgroup of a $p$-stable group, Canad. J. Math. 20 (1968), 555--564).