Product of two $\mathbb{P}$-subnormal subgroups
Problemy fiziki, matematiki i tehniki, no. 2 (2018), pp. 80-84.

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

Some properties of $\mathbb{P}$-subnormal subgroups and the groups that are products of two $\mathbb{P}$-subnormal subgroups are obtained.
Keywords: finite group, factorized group, $\mathbb{P}$-subnormal subgroup.
Mots-clés : simple non-abelian group
@article{PFMT_2018_2_a11,
     author = {V. N. Tyutyanov and T. V. Tihonenko and P. V. Bychkov},
     title = {Product of two $\mathbb{P}$-subnormal subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {80--84},
     publisher = {mathdoc},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2018_2_a11/}
}
TY  - JOUR
AU  - V. N. Tyutyanov
AU  - T. V. Tihonenko
AU  - P. V. Bychkov
TI  - Product of two $\mathbb{P}$-subnormal subgroups
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2018
SP  - 80
EP  - 84
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2018_2_a11/
LA  - ru
ID  - PFMT_2018_2_a11
ER  - 
%0 Journal Article
%A V. N. Tyutyanov
%A T. V. Tihonenko
%A P. V. Bychkov
%T Product of two $\mathbb{P}$-subnormal subgroups
%J Problemy fiziki, matematiki i tehniki
%D 2018
%P 80-84
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2018_2_a11/
%G ru
%F PFMT_2018_2_a11
V. N. Tyutyanov; T. V. Tihonenko; P. V. Bychkov. Product of two $\mathbb{P}$-subnormal subgroups. Problemy fiziki, matematiki i tehniki, no. 2 (2018), pp. 80-84. http://geodesic.mathdoc.fr/item/PFMT_2018_2_a11/

[1] L.S. Kazarin, “O gruppakh s faktorizatsiei”, Dokl. AN SSSR, 256:1 (1981), 26–29

[2] A.F. Vasilev, T.I. Vasileva, V.N. Tyutyanov, “O konechnykh gruppakh sverkhrazreshimogo tipa”, Sib. mat. zhurn., 51:6 (2010), 1270–1281 | Zbl

[3] A.F. Vasilev, T.I. Vasileva, V.N. Tyutyanov, “O $K$-$\mathbb{P}$-subnormalnykh podgruppakh konechnykh grupp”, Matem. zametki, 95:4 (2014), 517–528 | DOI | Zbl

[4] V.N. Tyutyanov, V.N. Knyagina, “Faktorizatsii konechnykh grupp $r$-razreshimymi podgruppami s zadannymi vlozheniyami”, Ukr. matem. zhurn., 66:10 (2014), 1431–1435

[5] A.F. Vasilev, T.I. Vasileva, V.N. Tyutyanov, “O proizvedeniyakh $\mathbb{P}$-subnormalnykh podgrupp v konechnykh gruppakh”, Sib. mat. zhurn., 53:1 (2012), 59–67 | Zbl

[6] V.S. Monakhov, V.N. Kniahina, “Finite factorised groups with partially solvable $\mathbb{P}$-subnormal subgroups”, Lobachevsii Jornal math., 36:4 (2015), 441–445 | DOI | MR | Zbl

[7] J.H. Conway et al., Atlas of finite groups, Oxford, 1985, 252 pp. | MR

[8] R.M. Guralnick, “Subgroups of prime power index in a simple group”, J. Algebra, 81 (1983), 304–311 | DOI | MR | Zbl

[9] V.N. Tyutyanov, “Konechnye gruppy s $\mathbb{P}$-subnormalnymi podgruppami Shmidta”, Problemy fiziki, matematiki i tekhniki, 2015, no. 1 (22), 88–91

[10] M.W. Liebeck, C.E. Prager, J. Saxl, The factorizations of the finite simple groups and their automorphism groups, Mem. Amer. Math. Soc., 86, no. 432, 1990, 151 pp. | MR