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Expansive dynamics on profinite groups

Authors :
Wibmer, Michael
Publication Year :
2020

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.<br />Comment: 30 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2008.00755
Document Type :
Working Paper