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

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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. 
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     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},
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     url = {http://geodesic.mathdoc.fr/item/DM_2009_21_1_a2/}
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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/