$\mathfrak G$-separability of the lattice of $\tau$-closed totally saturated formations
Algebra i logika, Tome 49 (2010) no. 5, pp. 690-702.

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

It is proved that the lattice of all $\tau$-closed totally saturated formations of finite groups is $\mathfrak G$-separable.
Keywords: formation of finite groups, totally saturated formation, lattice of formations, separable lattice of formations.
@article{AL_2010_49_5_a6,
     author = {V. G. Safonov},
     title = {$\mathfrak G$-separability of the lattice of $\tau$-closed totally saturated formations},
     journal = {Algebra i logika},
     pages = {690--702},
     publisher = {mathdoc},
     volume = {49},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2010_49_5_a6/}
}
TY  - JOUR
AU  - V. G. Safonov
TI  - $\mathfrak G$-separability of the lattice of $\tau$-closed totally saturated formations
JO  - Algebra i logika
PY  - 2010
SP  - 690
EP  - 702
VL  - 49
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2010_49_5_a6/
LA  - ru
ID  - AL_2010_49_5_a6
ER  - 
%0 Journal Article
%A V. G. Safonov
%T $\mathfrak G$-separability of the lattice of $\tau$-closed totally saturated formations
%J Algebra i logika
%D 2010
%P 690-702
%V 49
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2010_49_5_a6/
%G ru
%F AL_2010_49_5_a6
V. G. Safonov. $\mathfrak G$-separability of the lattice of $\tau$-closed totally saturated formations. Algebra i logika, Tome 49 (2010) no. 5, pp. 690-702. http://geodesic.mathdoc.fr/item/AL_2010_49_5_a6/

[1] L. A. Shemetkov, Formatsii konechnykh grupp, Nauka, M., 1978 | MR | Zbl

[2] L. A. Shemetkov, A. N. Skiba, Formatsii algebraicheskikh sistem, Nauka, M., 1989 | MR | Zbl

[3] A. N. Skiba, Algebra formatsii, Belarus. navuka, Minsk, 1997 | MR | Zbl

[4] K. Doerk, T. Hawkes, Finite soluble groups, De Gruyter Expo. Math., 4, W. de Gruyter, Berlin etc., 1992 | MR | Zbl

[5] W. Guo, The theory of classes of groups, Math. Appl. (Dordrecht), 505, Kluwer Academic Publishers, Dordrecht; Science Press, Beijing, 2000 | MR | Zbl

[6] N. N. Vorobëv, “Ob odnom voprose teorii lokalnykh klassov konechnykh grupp”, Voprosy algebry, 14, Izd-vo Gom. un-ta, Gomel, 1999, 132–140

[7] V. G. Safonov, “O dvukh zadachakh teorii totalno nasyschennykh formatsii”, Dokl. NAN Belarusi, 49:5 (2005), 16–20 | MR | Zbl

[8] V. G. Safonov, “O modulyarnosti reshëtki $\tau$-zamknutykh totalno nasyschennykh formatsii konechnykh grupp”, Ukr. matem. zh., 58:6 (2006), 852–858 | MR | Zbl

[9] V. G. Safonov, “Ob algebraichnosti reshëtki vsekh $\tau$-zamknutykh totalno nasyschennykh formatsii”, Algebra i logika, 45:5 (2006), 620–626 | MR | Zbl

[10] V. G. Safonov, “Kharakterizatsiya razreshimykh odnoporozhdënnykh totalno nasyschennykh formatsii konechnykh grupp”, Sib. matem. zh., 48:1 (2007), 185–191 | MR | Zbl

[11] V. G. Safonov, “On modularity of the lattice of totally saturated formations of finite groups”, Commun. Algebra, 35:11 (2007), 3495–3502 | DOI | MR | Zbl

[12] V. G. Safonov, “On a question of the theory of totally saturated formations of finite groups”, Algebra Colloq., 15:1 (2008), 119–128 | MR | Zbl

[13] V. G. Safonov, L. A. Shemetkov, “O podreshëtkakh reshëtki totalno nasyschennykh formatsii konechnykh grupp”, Dokl. NAN Belarusi, 52:4 (2008), 34–37 | MR | Zbl

[14] V. G. Safonov, “On a question of A. N. Skiba about totally saturated formations”, Algebra Discrete Math., 2008, no. 3, 88–97 | MR | Zbl

[15] A. N. Skiba, “Kharakterizatsiya konechnykh razreshimykh grupp zadannoi nilpotentnoi dliny”, Voprosy algebry, 3, Universitetskoe, Minsk, 1987, 21–31 | MR