Expansive dynamics on profinite groups

نویسندگان

چکیده

A profinite group equipped with an expansive endomorphism is equivalent to a one-sided shift. We show that these groups have very restricted structure. More precisely, we any such can be decomposed into finite sequence of full shifts and two groups.

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ژورنال

عنوان ژورنال: Fundamenta Mathematicae

سال: 2021

ISSN: ['0016-2736', '1730-6329']

DOI: https://doi.org/10.4064/fm15-1-2021