Generation of finite groups by nilpotent subgroups
Damian, E.
Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003), p. 245-255 / Harvested from Biblioteca Digitale Italiana di Matematica
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We study the generation of finite groups by nilpotent subgroups and in particular we investigate the structure of groups which cannot be generated by n nilpotent subgroups and such that every proper quotient can be generated by n nilpotent subgroups. We obtain some results about the structure of these groups and a lower bound for their orders.

Si studia la generazione di gruppi finiti tramite sottogruppi nilpotenti, in particolare viene esaminata la struttura di gruppi finiti non generabili con n sottogruppi nilpotenti e tali che ogni quoziente proprio sia generabile con n sottogruppi nilpotenti. Si ottengono alcuni risultati di struttura per questi gruppi e un limite inferiore per il loro ordine.

Publié le : 2003-02-01
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     author = {E. Damian},
     title = {Generation of finite groups by nilpotent subgroups},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {6-A},
     year = {2003},
     pages = {245-255},
     zbl = {1137.20013},
     mrnumber = {1955709},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2003_8_6B_1_245_0}
}

Damian, E. Generation of finite groups by nilpotent subgroups. Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003) pp. 245-255. http://gdmltest.u-ga.fr/item/BUMI_2003_8_6B_1_245_0/

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