Finite groups containing a given system of permutable subgroups
Problemy fiziki, matematiki i tehniki, no. 2 (2013), pp. 81-84.

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

Signs of non-simplicity of a solvable radical and criteria of non-simplicity of a finite group, which contains the given system of permutable subgroups were obtained in this paper.
Keywords: finite group, permutable subgroups, nonabelian simple group.
Mots-clés : solvable radical
@article{PFMT_2013_2_a11,
     author = {T. V. Tihonenko},
     title = {Finite groups containing a given system of permutable subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {81--84},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2013_2_a11/}
}
TY  - JOUR
AU  - T. V. Tihonenko
TI  - Finite groups containing a given system of permutable subgroups
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2013
SP  - 81
EP  - 84
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2013_2_a11/
LA  - ru
ID  - PFMT_2013_2_a11
ER  - 
%0 Journal Article
%A T. V. Tihonenko
%T Finite groups containing a given system of permutable subgroups
%J Problemy fiziki, matematiki i tehniki
%D 2013
%P 81-84
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2013_2_a11/
%G ru
%F PFMT_2013_2_a11
T. V. Tihonenko. Finite groups containing a given system of permutable subgroups. Problemy fiziki, matematiki i tehniki, no. 2 (2013), pp. 81-84. http://geodesic.mathdoc.fr/item/PFMT_2013_2_a11/

[1] O. Ore, “Contributions in the theory of groups of finite order”, Duke Math. J., 5 (1939), 431–460 | DOI | MR

[2] N. Ito, J. Szep, “Uber die Quasinormalteiler vor endlichen Gruppen”, Act. Sci. Math., 23 (1962), 169–170 | MR

[3] R. Maier, P. Schmid, “The embedding of permutable subgroups in finite groups”, Math. Z., 131 (1973), 269–272 | DOI | MR | Zbl

[4] O. Kegel, “Produkte nilpotentner Gruppen”, Arch. Math., 12 (1961), 90–93 | DOI | MR | Zbl

[5] J. C. Beidleman, H. Heineken, “Mutually permutable subgroups and group classes”, Arch. Math., 85 (2005), 18–30 | DOI | MR | Zbl

[6] A. N. Skiba, “Finite groups with given systems of generalized permutable subgroups”, Izvestiya Gomelskogo gosuniversiteta im. F. Skoriny, 2006, no. 3 (36), 12–31

[7] D. Gorenstein, Konechnye prostye gruppy. Vvedenie v ikh klassifikatsiyu, Mir, M., 1985 | MR | Zbl

[8] B. Huppert, Endliche Gruppen, v. I, Springer-Verlag, Berlin–Heidelberg–New York, 1967 | MR | Zbl

[9] L. S. Kazarin, “Priznaki neprostoty faktorizuemykh grupp”, Izv. AN SSSR, 44:2 (1980), 288–308 | MR | Zbl