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. - In: ATTI DEL SEMINARIO MATEMATICO E FISICO DELL'UNIVERSITA' DI MODENA. - ISSN 0041-8986. - STAMPA. - LI:(2003), pp. 35-42.
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*.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
