Expansive dynamics on profinite groups
Volume 256 / 2022
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
Abstract
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.
