M. I. Kornev, “<nobr>$n$</nobr>-Valued coset groups and dynamics”, Mat. Zametki, 2024, Volume 116, Issue 1,Pages <nobr>77

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$n$-Valued coset groups and dynamics

M. I. Kornev^ab

^a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
^b National Research University Higher School of Economics, Moscow

Abstract: 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.

UDC: 512.54

MSC: 20-XX

Received: 02.02.2024
Revised: 22.02.2024

DOI: 10.4213/mzm14243