A note on subgroups of automorphism groups of full shifts
Ville Salo
A note on subgroups of automorphism groups of full shifts
Ville Salo
Cambridge University Press
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2021042716181
https://urn.fi/URN:NBN:fi-fe2021042716181
Tiivistelmä
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.
Kokoelmat
- Rinnakkaistallenteet [19207]