In this article we show that a finite soluble group possesses nilpotent Hall subgroups for well-defined sets of primes if and only if its Sylow normalizers satisfy the same property. In fact, this property of groups provides a characterization of the subgroup-closed saturated formations, whose elements are characterized by the Sylow normalizers belonging to the class, in the universe of all finite soluble groups

Saturated formations closed under Sylow normalizers / D'Aniello, Alma; DE VIVO, Clorinda; Giordano, Gabriele; M. D., PEREZ RAMOS. - In: COMMUNICATIONS IN ALGEBRA. - ISSN 0092-7872. - STAMPA. - 33:8(2005), pp. 2801-2808.

Saturated formations closed under Sylow normalizers

D'ANIELLO, ALMA;DE VIVO, CLORINDA;GIORDANO, GABRIELE;
2005

Abstract

In this article we show that a finite soluble group possesses nilpotent Hall subgroups for well-defined sets of primes if and only if its Sylow normalizers satisfy the same property. In fact, this property of groups provides a characterization of the subgroup-closed saturated formations, whose elements are characterized by the Sylow normalizers belonging to the class, in the universe of all finite soluble groups
2005
Saturated formations closed under Sylow normalizers / D'Aniello, Alma; DE VIVO, Clorinda; Giordano, Gabriele; M. D., PEREZ RAMOS. - In: COMMUNICATIONS IN ALGEBRA. - ISSN 0092-7872. - STAMPA. - 33:8(2005), pp. 2801-2808.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/201089
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