Finite groups with formational subnormal subgroups
Problemy fiziki, matematiki i tehniki, no. 4 (2019), pp. 51-54.

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

The structure of a group $G$ containing a maximal subgroup $M$ such that all maximal subgroups of $M$ are $\mathfrak{F}$-subnormal in $G$ in case $\mathfrak{F}$ is the formation of all nilpotent groups or a subgroup-closed saturated lattice formation is described.
Keywords: finite groups, subnormal subgroups, $\mathfrak{F}$-subnormal subgroups, nilpotent groups, lattice formation.
@article{PFMT_2019_4_a9,
     author = {M. N. Konovalova and I. L. Sokhor},
     title = {Finite groups with formational subnormal subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {51--54},
     publisher = {mathdoc},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2019_4_a9/}
}
TY  - JOUR
AU  - M. N. Konovalova
AU  - I. L. Sokhor
TI  - Finite groups with formational subnormal subgroups
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2019
SP  - 51
EP  - 54
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2019_4_a9/
LA  - ru
ID  - PFMT_2019_4_a9
ER  - 
%0 Journal Article
%A M. N. Konovalova
%A I. L. Sokhor
%T Finite groups with formational subnormal subgroups
%J Problemy fiziki, matematiki i tehniki
%D 2019
%P 51-54
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2019_4_a9/
%G ru
%F PFMT_2019_4_a9
M. N. Konovalova; I. L. Sokhor. Finite groups with formational subnormal subgroups. Problemy fiziki, matematiki i tehniki, no. 4 (2019), pp. 51-54. http://geodesic.mathdoc.fr/item/PFMT_2019_4_a9/

[1] L.A. Shemetkov, Formatsii konechnykh grupp, Nauka, M., 1978, 271 pp.

[2] V.S. Monakhov, Vvedenie v teoriyu konechnykh grupp i ikh klassov, Vysheishaya shkola, Minsk, 2006, 207 pp.

[3] V.S. Monakhov, “Konechnye gruppy s abnormalnymi i $\mathfrak{U}$-subnormalnymi podgruppami”, Sib. matem. zhurn., 57:2 (2016), 447–462 | Zbl

[4] V.S. Monakhov, “O gruppakh s formatsionno subnormalnymi 2-maksimalnymi podgruppami”, Matem. zametki, 105 (2019), 269–277 | DOI | Zbl

[5] V.S. Monakhov, V.N. Kniahina, “Finite groups with $\mathbb{P}$-subnormal subgroups”, Ricerche Mat., 62 (2013), 307–322 | DOI | MR | Zbl

[6] V.A. Kovaleva, A.N. Skiba, “Finite soluble groups with all n-maximal subgroups $\mathfrak{F}$-subnormal”, J. Group Theory, 17:2 (2014), 273–290 | DOI | MR | Zbl

[7] Yu.V. Lutsenko, A.N. Skiba, “Konechnye gruppy s subnormalnymi vtorymi ili tretimi maksimalnymi podgruppami”, Matem. zametki, 91 (2012), 730–740 | DOI | Zbl

[8] V.N. Semenchuk, M.V. Selkin, V.M. Selkin, “O konechnykh gruppakh s obobschenno subnormalnymi podgruppami”, Problemy fiziki, matematiki i tekhniki, 2017, no. 2 (31), 66–68

[9] A. Ballester-Bolinches, L.M. Ezquerro, Classes of finite groups, Springer, Dordrecht, 2006, 381 pp. | MR | Zbl

[10] G.A. Miller, H.C. Moreno, “Non-abelian groups in which every subgroups is abelian”, Trans. Amer. Math. Soc., 4:4 (1903), 398–404 | DOI | MR | Zbl

[11] V.S. Monakhov, “Podgruppy Shmidta, ikh suschestvovanie i nekotorye prilozheniya”, Ukr. matem. kongress, sb. tr., In-t matem. NAN Ukrainy, Kiev, 2002, 81–90

[12] A.F. Vasilev, S.F. Kamornikov, V.N. Semenchuk, “O reshetkakh podgrupp konechnykh grupp”, Beskonechnye gruppy i primykayuschie algebraicheskie struktury, sb. nauch. st., In-t matem. AN Ukrainy, Kiev, 1993, 27–54

[13] V.N. Semenchuk, “Razreshimye $\mathfrak{F}$-radikalnye formatsii”, Mat. zametki, 59:2 (1996), 261–266 | DOI | Zbl

[14] B. Huppert, Endliche Gruppen I, Springer, Berlin–Heidelberg–New York, 1967, 793 pp. | MR | Zbl