$n$-Valued coset groups and dynamics
Matematičeskie zametki, Tome 116 (2024) no. 1, pp. 77-90

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Asymptotic and exact formulas for the growth functions of certain families of $n$-valued coset groups are obtained, and the relationship between the theory of $n$-valued groups and symbolic dynamics is described.
Keywords: $n$-valued coset group, growth function, combinatorics of words, dynamical system, $n$-bonacci number.
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     author = {M. I. Kornev},
     title = {$n${-Valued} coset groups and dynamics},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     year = {2024},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2024_116_1_a5/}
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M. I. Kornev. $n$-Valued coset groups and dynamics. Matematičeskie zametki, Tome 116 (2024) no. 1, pp. 77-90. http://geodesic.mathdoc.fr/item/MZM_2024_116_1_a5/