On the existence of free subsemigroups in reversible automata semigroups (Q2076067)
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scientific article; zbMATH DE number 7476310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of free subsemigroups in reversible automata semigroups |
scientific article; zbMATH DE number 7476310 |
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On the existence of free subsemigroups in reversible automata semigroups (English)
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18 February 2022
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Summary: 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.
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automata groups
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automata semigroups
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free semigroups
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word growth
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