Finite groups whose maximal subgroups have only soluble proper subgroups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 237-240
Voir la notice de l'article provenant de la source Math-Net.Ru
We give a description of a finite group whose maximal subgroups possess only soluble proper subgroups, which implies the answer to the well-known question on composition factors of finite groups, whose second maximal subgroups are soluble.
Keywords:
finite group, maximal subgroup, solubility.
@article{SEMR_2022_19_1_a8,
author = {D. V. Lytkina and A. Kh. Zhurtov},
title = {Finite groups whose maximal subgroups have only soluble proper subgroups},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {237--240},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {2022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a8/}
}
TY - JOUR AU - D. V. Lytkina AU - A. Kh. Zhurtov TI - Finite groups whose maximal subgroups have only soluble proper subgroups JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2022 SP - 237 EP - 240 VL - 19 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a8/ LA - en ID - SEMR_2022_19_1_a8 ER -
%0 Journal Article %A D. V. Lytkina %A A. Kh. Zhurtov %T Finite groups whose maximal subgroups have only soluble proper subgroups %J Sibirskie èlektronnye matematičeskie izvestiâ %D 2022 %P 237-240 %V 19 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a8/ %G en %F SEMR_2022_19_1_a8
D. V. Lytkina; A. Kh. Zhurtov. Finite groups whose maximal subgroups have only soluble proper subgroups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 237-240. http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a8/