Geodesic
One-generator compositional formations
Diskretnaya Matematika, Tome 13 (2001) no. 3, pp. 153-160.

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

The class of factorable single-generated composite formations is described in terms of necessary and sufficient conditions of the factorability. Only finite groups are considered. 
@article{DM_2001_13_3_a10,
     author = {A. B. Elovikov},
     title = {One-generator compositional formations},
     journal = {Diskretnaya Matematika},
     pages = {153--160},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2001_13_3_a10/}
}
TY  - JOUR
AU  - A. B. Elovikov
TI  - One-generator compositional formations
JO  - Diskretnaya Matematika
PY  - 2001
SP  - 153
EP  - 160
VL  - 13
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2001_13_3_a10/
LA  - ru
ID  - DM_2001_13_3_a10
ER  - 
%0 Journal Article
%A A. B. Elovikov
%T One-generator compositional formations
%J Diskretnaya Matematika
%D 2001
%P 153-160
%V 13
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2001_13_3_a10/
%G ru
%F DM_2001_13_3_a10
A. B. Elovikov. One-generator compositional formations. Diskretnaya Matematika, Tome 13 (2001) no. 3, pp. 153-160. http://geodesic.mathdoc.fr/item/DM_2001_13_3_a10/

[1] Skiba A. N., “O proizvedenii formatsii”, Algebra i logika, 22:5 (83), 574–583 | MR | Zbl

[2] Skiba A. N., “O faktorizatsiyakh odnogo klassa formatsii konechnykh grupp”, Voprosy algebry, 7 (92), 108–110 | Zbl

[3] Skiba A. N., “On nontrivial factorizations of an onegenerated local formation of finite groups”, Proc. Int. Conf. Algebra Dedicat. Mem. A. I. Malcev (21–26 Aug. 1989), Novosibirsk, 111

[4] Skiba A. N., Algebra formatsii, Belaruskaya navuka, 1997 | MR | Zbl

[5] Shemetkov L. A., Skiba A. N., Formatsii algebraicheskikh sistem, Nauka, Moskva, 1989 | MR

[6] Shemetkov L. A., Formatsii konechnykh grupp, Nauka, Moskva, 1978 | MR | Zbl

[7] Vedernikov V. A., Sorokina M. M., O kompozitsionnykh nasledstvennykh kriticheskikh formatsiyakh, Preprint No 1, BGPU, Bryansk, 1996

[8] Elovikov A. B., Kratno $\Omega$-kompozitsionnye formatsii grupp, Preprint No 3, BGPU, Bryansk, 1999

[9] Skiba A. N., Shemetkov L. A., “O minimalnom kompozitsionnom ekrane kompozitsionnoi formatsii ekrane kompozitsionnoi formatsii”, Voprosy algebry, 7 (1992), 39–43 | MR | Zbl

[10] Elovikov A. B., “O faktorizatsii formatsii”, Tezisy mezhd. nauch. konf., posvyaschennoi 80-letiyu prof. Volfganga Gashyutsa (Gomel, 16–21 oktyabrya), Gomelskii gos. un-t., Gomel, 2000 g., 23–25

[11] Sorokina M. M., “O kompozitsionnykh i lokalnykh kriticheskikh formatsiyakh”, Izv. vuzov. Ser. matematika, 2000, no. 7, 59–66 | MR | Zbl

[12] Doerk K., Hawkes T., Finite soluble groups, Gruyter, Berlin, 1992 | MR | Zbl

[13] Go Venbin, Skiba A. N., “Faktorizatsii odnoporozhdennykh kompozitsionnykh formatsii”, Tezisy IV Mezhd. algebr. konf., posvyaschennoi 60-letiyu prof. Yu. I. Merzlyakova (Novosibirsk, 7–11 avgusta), Institut matematiki SO RAN, Novosibirsk, 2000 g., 60–61