JournalsggdVol. 15, No. 3pp. 1103–1132

On the existence of free subsemigroups in reversible automata semigroups

  • Dominik Francoeur

    École normale supérieure de Lyon, France

  • Ivan Mitrofanov

    École Normale Supérieure, Paris, France
On the existence of free subsemigroups in reversible automata semigroups cover
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Abstract

We prove that the semigroup generated by a reversible Mealy automaton contains a free subsemigroup of rank two if and only if it contains an element of infinite order.

Cite this article

Dominik Francoeur, Ivan Mitrofanov, On the existence of free subsemigroups in reversible automata semigroups. Groups Geom. Dyn. 15 (2021), no. 3, pp. 1103–1132

DOI 10.4171/GGD/626