Geodesic
Factorizable Groups
Matematičeskie zametki, Tome 85 (2009) no. 2, pp. 273-282 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper is devoted to the description of solvable hereditary Fitting formations $\mathfrak F$ containing any solvable group of the form $G=AB$, where $A$ and $B$ are $\mathfrak F$-subgroups and the indices $|G:A|$ and $|G:B|$ are not divisible by some prime $p$.
Mots-clés : solvable finite group, Shemetkov formation
Keywords: solvable hereditary Fitting formation, Schmidt group. 
@article{MZM_2009_85_2_a9,
     author = {V. N. Semenchuk and O. A. Mokeeva},
     title = {Factorizable {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {273--282},
     year = {2009},
     volume = {85},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_2_a9/}
}
TY  - JOUR
AU  - V. N. Semenchuk
AU  - O. A. Mokeeva
TI  - Factorizable Groups
JO  - Matematičeskie zametki
PY  - 2009
SP  - 273
EP  - 282
VL  - 85
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MZM_2009_85_2_a9/
LA  - ru
ID  - MZM_2009_85_2_a9
ER  - 
%0 Journal Article
%A V. N. Semenchuk
%A O. A. Mokeeva
%T Factorizable Groups
%J Matematičeskie zametki
%D 2009
%P 273-282
%V 85
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_2009_85_2_a9/
%G ru
%F MZM_2009_85_2_a9
V. N. Semenchuk; O. A. Mokeeva. Factorizable Groups. Matematičeskie zametki, Tome 85 (2009) no. 2, pp. 273-282. http://geodesic.mathdoc.fr/item/MZM_2009_85_2_a9/

[1] V. N. Tyutyanov, “Faktorizatsii $\pi$-nilpotentnymi somnozhitelyami”, Matem. sb., 187:9 (1996), 97–102 | MR | Zbl

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

[3] V. N. Semenchuk, “Minimalnye ne $\mathfrak F$-gruppy”, Algebra i logika, 18:3 (1979), 348–382 | MR | Zbl

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

[5] V. N. Semenchuk, “Opisanie razreshimykh minimalnykh ne $\mathfrak F$-grupp dlya proizvolnoi totalno lokalnoi formatsii $\mathfrak F$”, Matem. zametki, 43:4 (1988), 452–459 | MR | Zbl

[6] V. N. Semenchuk, L. A. Shemetkov, “Sverkhradikalnye formatsii”, Dokl. NAN Belarusi, 44:5 (2000), 23–25 | MR