Expansive dynamics on profinite groups

2020/08/03 by Wibmer, Michael
#12H10 #20E18 #22C05 #37B05 #37B10 #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2008.00755

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.

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