A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
A note on subgroups of automorphism groups of full shifts
Tekijät: Ville Salo
Kustantaja: Cambridge University Press
Julkaisuvuosi: 2018
Journal: Ergodic Theory and Dynamical Systems
Vuosikerta: 38
Aloitussivu: 1588
Lopetussivu: 1600
Sivujen määrä: 13
ISSN: 0143-3857
eISSN: 1469-4417
DOI: https://doi.org/10.1017/etds.2016.95
Verkko-osoite: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/div-classtitlea-note-on-subgroups-of-automorphism-groups-of-full-shiftsdiv/E4E9E78448211F173CB9F6E8AFFEE750
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/18192344
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.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
