Geodesic
Attainability at a~finite step of limit distributions for products of random variables with values in a~finite group
Diskretnaya Matematika, Tome 18 (2006) no. 3, pp. 35-42

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We give necessary and sufficient conditions of equiprobability at a finite step for limit distributions of products of random variables whose values lie in a finite group and whose distributions are defined by a Markov chain such that the uniform limit distribution is concentrated on the corresponding cosets of the finite group by some its conjugate subgroups. 
@article{DM_2006_18_3_a1,
     author = {I. A. Kruglov},
     title = {Attainability at a~finite step of limit distributions for products of random variables with values in a~finite group},
     journal = {Diskretnaya Matematika},
     pages = {35--42},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2006_18_3_a1/}
}
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I. A. Kruglov. Attainability at a~finite step of limit distributions for products of random variables with values in a~finite group. Diskretnaya Matematika, Tome 18 (2006) no. 3, pp. 35-42. http://geodesic.mathdoc.fr/item/DM_2006_18_3_a1/