The Thue-Morse substitutions and self-similar groups and algebras

L. Bartholdi, J. M. R. Caballero, T. Ahmed

Abstract


We introduce self-similar algebras and groups closely related to the Thue-Morse sequence, and begin their investigation by describing a~character on them, the `spread' character.


Keywords


self-similar groups, self-similar algebras, Thue-Morse sequence

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DOI: http://dx.doi.org/10.12958/adm1597

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