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arXiv:2008.00755 [math.DS]AbstractReferencesReviewsResources

Expansive dynamics on profinite groups

Michael Wibmer

Published 2020-08-03Version 1

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.

Comments: 30 pages
Categories: math.DS, math.GR
Subjects: 37B10, 37B05, 22C05, 20E18, 12H10
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