Generation of finite groups by nilpotent subgroups
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 1, pp. 245-255
Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica
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.
@article{BUMI_2003_8_6B_1_a15,
author = {Damian, E.},
title = {Generation of finite groups by nilpotent subgroups},
journal = {Bollettino della Unione matematica italiana},
pages = {245--255},
year = {2003},
volume = {Ser. 8, 6B},
number = {1},
zbl = {1137.20013},
mrnumber = {MR1955709},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_1_a15/}
}
Damian, E. Generation of finite groups by nilpotent subgroups. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 1, pp. 245-255. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_1_a15/