Generation of finite groups by nilpotent subgroups
Bollettino dell'Unione Matematica Italiana (2003)
- Volume: 6-B, Issue: 1, page 245-255
- ISSN: 0392-4041
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topDamian, E.. "Generation of finite groups by nilpotent subgroups." Bollettino dell'Unione Matematica Italiana 6-B.1 (2003): 245-255. <http://eudml.org/doc/195230>.
@article{Damian2003,
abstract = {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.},
author = {Damian, E.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {finite soluble groups; finite groups generated by nilpotent subgroups; minimal counterexamples},
language = {eng},
month = {2},
number = {1},
pages = {245-255},
publisher = {Unione Matematica Italiana},
title = {Generation of finite groups by nilpotent subgroups},
url = {http://eudml.org/doc/195230},
volume = {6-B},
year = {2003},
}
TY - JOUR
AU - Damian, E.
TI - Generation of finite groups by nilpotent subgroups
JO - Bollettino dell'Unione Matematica Italiana
DA - 2003/2//
PB - Unione Matematica Italiana
VL - 6-B
IS - 1
SP - 245
EP - 255
AB - 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.
LA - eng
KW - finite soluble groups; finite groups generated by nilpotent subgroups; minimal counterexamples
UR - http://eudml.org/doc/195230
ER -
References
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