Finite Groups with Subnormal Second or Third Maximal Subgroups
Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 730-740
Voir la notice de l'article provenant de la source Math-Net.Ru
In the paper, the precise structure of finite groups all of whose second (or all of whose third) maximal subgroups are subnormal is established.
Keywords:
finite group, second maximal subgroup, third maximal subgroup, subnormal subgroup, Schmidt group, Sylow subgroup, Frattini subgroup, biprimary group, nilpotent group
Mots-clés : solvable group, supersolvable group.
Mots-clés : solvable group, supersolvable group.
@article{MZM_2012_91_5_a8,
author = {Yu. V. Lutsenko and A. N. Skiba},
title = {Finite {Groups} with {Subnormal} {Second} or {Third} {Maximal} {Subgroups}},
journal = {Matemati\v{c}eskie zametki},
pages = {730--740},
publisher = {mathdoc},
volume = {91},
number = {5},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a8/}
}
Yu. V. Lutsenko; A. N. Skiba. Finite Groups with Subnormal Second or Third Maximal Subgroups. Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 730-740. http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a8/