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ON SOME SEMIGROUPS OF INTERMEDIATE GROWTH

    https://doi.org/10.1142/S021819670100067XCited by:10 (Source: Crossref)

    Asymptotic estimates for growth functions of Belyaev–Sesekin–Trofimov's and Okniński's semigroups are obtained. In particular, a question of R. Grigorchuk about the existence of matrix semigroups with growth rate between polynomial and , is positively answered.

    AMSC: 05A17, 05E99, 11P82, 20M05, 20M20, 20M99