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Expansive dynamics on profinite groups

Volume 256 / 2022

Michael Wibmer Fundamenta Mathematicae 256 (2022), 77-112 MSC: Primary 37B10; Secondary 37B05, 22C05, 20E18, 12H10. DOI: 10.4064/fm15-1-2021 Published online: 30 April 2021


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


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