Fischer classes in finite groups

Martínez Verduch, José Ramón ^[1]
1. [1] Departamento de Álgebra y Fundamentos, Facultad de Ciencias, Zaragoza
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 27, Fasc. 2, 1976, págs. 109-118
Idioma: inglés
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Resumen
- In [2] we define the concept of a "pi-satured Fitting class". The present work investigates a particular type of such classes, those we have called "Fischer classes relative to pi", which allow us to present a version of Fischer's theorem valid for pi-solvable groups. We have followed the type of proof of the cited Hartley Theorem, which is essentially based on the behaviour of the injectors of a group G with respect to the complements of self-centralizing factors of G, with the necessary modifications not disposing of the hypothesis of solubility.