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

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
DOI: 10.5565/publmat_38294_10
Títulos paralelos:
- Subgrupos del tipo ZJ de un F-inyector para clases F Fitting entre Ep*p y Ep*Sp
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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).