The finite groups with exactly four conjugate classes of maximal subgroups.~II
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 86-91

Voir la notice de l'article provenant de la source Math-Net.Ru

In this work we continue investigate the finite groups, having exactly four conjugate classes of maximal subgroups. The groups with this property we call $4M$-groups. The investigation of such groups was started in the part I where the simple $4M$-groups and as well nonsimple nonsolvable $4M$-groups without normal maximal subgroups were completely described. In the present part II we begin study the remaining case, in which a nonsolvable $4M$-group has a normal maximal subgroup. Here the early results of the author on the structure of the finite groups with exactly three conjugate classes of maximal subgroups and the results of G. Pazderski on the structure of the finite groups with exactly two conjugate classes of maximal subgroups are used.
Keywords: finite group, conjugate classes of maximal subgroups, $4M$-groups.
Mots-clés : nonsolvable group
@article{SEMR_2018_15_a4,
     author = {V. A. Belonogov},
     title = {The finite groups with exactly four conjugate classes of maximal {subgroups.~II}},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {86--91},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a4/}
}
TY  - JOUR
AU  - V. A. Belonogov
TI  - The finite groups with exactly four conjugate classes of maximal subgroups.~II
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2018
SP  - 86
EP  - 91
VL  - 15
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2018_15_a4/
LA  - ru
ID  - SEMR_2018_15_a4
ER  - 
%0 Journal Article
%A V. A. Belonogov
%T The finite groups with exactly four conjugate classes of maximal subgroups.~II
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2018
%P 86-91
%V 15
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2018_15_a4/
%G ru
%F SEMR_2018_15_a4
V. A. Belonogov. The finite groups with exactly four conjugate classes of maximal subgroups.~II. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 86-91. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a4/