Generation of finite groups by nilpotent subgroups
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 1, pp. 245-255
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/