Expansive dynamics on profinite groups
Dynamical Systems
2020-08-04 v1 Group Theory
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.
Cite
@article{arxiv.2008.00755,
title = {Expansive dynamics on profinite groups},
author = {Michael Wibmer},
journal= {arXiv preprint arXiv:2008.00755},
year = {2020}
}
Comments
30 pages