Geodesic
On filtration of Markov chains on a finite group
Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 517-522 
V. M. Ashurov. On filtration of Markov chains on a finite group. Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 517-522. http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a13/
@article{TVP_1968_13_3_a13,
     author = {V. M. Ashurov},
     title = {On filtration of {Markov} chains on a~finite group},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {517--522},
     year = {1968},
     volume = {13},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a13/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of filtration of Markov chains on a finite group is considered as a problem of optimal statistical decision finding.