Summary. We study a Schunck class N*, closed under normal product, that generalizes the class of nilpotente groups. Such class is weakly closed under the operation N, considered by many authors, defined as follows: if X is a class of groups in an universe B, NX: = ( G belonging to B, such that the normalizers of Sylow p-subgroups of G belong to X, for every prime p which divides the order of G). In particular we classify the soluble groups of the clas N*.
Su una classe di Schunck chiusa per prodotti normali
D'ANIELLO, ALMA;DE VIVO, CLORINDA;GIORDANO, GABRIELE
2003
Abstract
Summary. We study a Schunck class N*, closed under normal product, that generalizes the class of nilpotente groups. Such class is weakly closed under the operation N, considered by many authors, defined as follows: if X is a class of groups in an universe B, NX: = ( G belonging to B, such that the normalizers of Sylow p-subgroups of G belong to X, for every prime p which divides the order of G). In particular we classify the soluble groups of the clas N*.File in questo prodotto:
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