Geodesic
On local properties of the formations of groups with $\mathrm{K}$-$\mathfrak{F}$-subnormal Sylow subgroups
Problemy fiziki, matematiki i tehniki, no. 3 (2014), pp. 53-57.

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

The class of all finite groups with Sylow $\mathrm{K}$-$\mathfrak{F}$-subnormal subgroups is considered. The condition of saturation of this class is investigated, as well as the local screen in solvable case is established.
Keywords: finite group, Sylow subgroup, $\mathrm{K}$-$\mathfrak{F}$-subnormal subgroup, saturated formation
Mots-clés : local formation. 
@article{PFMT_2014_3_a9,
     author = {A. S. Vegera},
     title = {On local properties of the formations of groups with $\mathrm{K}$-$\mathfrak{F}$-subnormal {Sylow} subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {53--57},
     publisher = {mathdoc},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2014_3_a9/}
}
TY  - JOUR
AU  - A. S. Vegera
TI  - On local properties of the formations of groups with $\mathrm{K}$-$\mathfrak{F}$-subnormal Sylow subgroups
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2014
SP  - 53
EP  - 57
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2014_3_a9/
LA  - ru
ID  - PFMT_2014_3_a9
ER  - 
%0 Journal Article
%A A. S. Vegera
%T On local properties of the formations of groups with $\mathrm{K}$-$\mathfrak{F}$-subnormal Sylow subgroups
%J Problemy fiziki, matematiki i tehniki
%D 2014
%P 53-57
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2014_3_a9/
%G ru
%F PFMT_2014_3_a9
A. S. Vegera. On local properties of the formations of groups with $\mathrm{K}$-$\mathfrak{F}$-subnormal Sylow subgroups. Problemy fiziki, matematiki i tehniki, no. 3 (2014), pp. 53-57. http://geodesic.mathdoc.fr/item/PFMT_2014_3_a9/

[1] T. Hawkes, “On formation subgroups of a finite soluble group”, J. London Math. Soc., 44 (1969), 243–250 | DOI | MR | Zbl

[2] L. A. Shemetkov, Formatsii konechnykh grupp, Nauka, M., 1978, 272 pp.

[3] A. Ballester-Bolinches, L. M. Ezquerro, Classes of Finite Groups, Springer, 2006, 385 pp. | MR | Zbl

[4] O. H. Kegel, “Untergruppenverbände endlicher Gruppen, die den Subnormalteilerverband echt enthalten”, Arch. Math., 30:3 (1978), 225–228 | DOI | MR | Zbl

[5] A. F. Vasilev, “O vliyanii primarnykh $\mathfrak{F}$-subnormalnykh podgrupp na stroenie gruppy”, Voprosy algebry, 1995, no. 8, 31–39 | MR

[6] A. F. Vasilev, T. I. Vasileva, “O konechnykh gruppakh s obobschenno subnormalnymi silovskimi podgruppami”, Problemy fiziki, matematiki i tekhniki, 2011, no. 4(9), 86–91

[7] A. S. Vegera, “O nasyschennykh formatsiyakh konechnykh grupp, opredelyaemykh svoistvami vlozheniya silovskikh podgrupp”, Izvestiya Gomelskogo gosudarstvennogo universiteta im. F. Skoriny, 2012, no. 6(75), 154–158

[8] K. Doerk, T. Hawkes, Finite soluble groups, Walter de Gruyter, Berlin–New York, 1992, 891 pp. | MR

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

[10] V. I. Murashko, “O klasse konechnykh grupp s obobschenno subnormalnymi tsiklicheskimi primarnymi podgruppami”, Izvestiya Gomelskogo gosudarstvennogo universiteta im. F. Skoriny, 2013, no. 6(81), 55–61

[11] S. F. Kamornikov, M. V. Selkin, Podgruppovye funktory i klassy konechnykh grupp, Bel. navuka, Mn., 2003, 254 pp.