Titlebook: Combinatorics on Words; 14th International C Anna Frid,Robert Mercaş Conference proceedings 2023 The Editor(s) (if applicable) and The Auth

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On Substitutions Preserving Their Return Setsthe property asking that the image of the return set to a word equals the return set to the image of that word. We show that, for bifix encodings (where images of letters form a bifix code), this property holds for all but finitely many words. On the other hand, we also show that every conjugacy cla

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