Geodesic
On layers in the system of generators of the subdirect product of subgroups of a~finite group
Diskretnaya Matematika, Tome 21 (2009) no. 1, pp. 52-65.

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

We give a description of layers in the system of generators of the subdirect product of subgroups of a finite group and prove a formula for the corresponding length of the covering in terms of the subgroups of the finite group. On the base of these results we give a description of the behaviour of distributions of random variables in some particular cases of the linear autoregression scheme with random control on a finite group. 
@article{DM_2009_21_1_a2,
     author = {I. A. Kruglov},
     title = {On layers in the system of generators of the subdirect product of subgroups of a~finite group},
     journal = {Diskretnaya Matematika},
     pages = {52--65},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2009_21_1_a2/}
}
TY  - JOUR
AU  - I. A. Kruglov
TI  - On layers in the system of generators of the subdirect product of subgroups of a~finite group
JO  - Diskretnaya Matematika
PY  - 2009
SP  - 52
EP  - 65
VL  - 21
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2009_21_1_a2/
LA  - ru
ID  - DM_2009_21_1_a2
ER  - 
%0 Journal Article
%A I. A. Kruglov
%T On layers in the system of generators of the subdirect product of subgroups of a~finite group
%J Diskretnaya Matematika
%D 2009
%P 52-65
%V 21
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2009_21_1_a2/
%G ru
%F DM_2009_21_1_a2
I. A. Kruglov. On layers in the system of generators of the subdirect product of subgroups of a~finite group. Diskretnaya Matematika, Tome 21 (2009) no. 1, pp. 52-65. http://geodesic.mathdoc.fr/item/DM_2009_21_1_a2/

[1] Gorchinskii Yu. N., Kruglov I. A., Kapitonov V. M., “Voprosy teorii raspredelenii na konechnykh gruppakh”, Trudy po diskretnoi matematike, 1, 1997, 85–112 | MR

[2] Glukhov M. M., “O chislovykh parametrakh, svyazannykh s zadaniem konechnykh grupp sistemami obrazuyuschikh elementov”, Trudy po diskretnoi matematike, 1, 1997, 43–66 | MR | Zbl

[3] Kruglov I. A., “Usloviya predelnoi ravnoveroyatnosti raspredelenii v skheme lineinoi avtoregressii so sluchainym upravleniem na konechnoi gruppe”, Diskretnaya matematika, 17:3 (2005), 12–18 | MR | Zbl

[4] Kruglov I. A., “Proizvedeniya so sdvigom nezavisimykh sluchainykh velichin so znacheniyami v konechnykh gruppakh”, Diskretnaya matematika, 19:1 (2007), 40–49 | MR | Zbl

[5] Kholl M., Teoriya grupp, IL, Moskva, 1962