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A note on subgroups of automorphism groups of full shifts

Published online by Cambridge University Press:  08 November 2016

VILLE SALO Open the ORCID record for VILLE SALO [Opens in a new window]
VILLE SALO*
Affiliation:
Faculty of Mathematics and Natural Sciences, University of Turku, FI-20014 Turun Yliopisto, Finland email vosalo@utu.fi
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Abstract

We discuss the set of subgroups of the automorphism group of a full shift and submonoids of its endomorphism monoid. We prove closure under direct products in the monoid case and free products in the group case. We also show that the automorphism group of a full shift embeds in that of an uncountable sofic shift. Some undecidability results are obtained as corollaries.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 38 , Issue 4 , June 2018 , pp. 1588 - 1600
Copyright
© Cambridge University Press, 2016 

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