A note on subgroups of automorphism groups of full shifts

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dc.contributor.authorVille Salo
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id18192344
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/18192344
dc.date.accessioned2022-10-27T12:22:45Z
dc.date.available2022-10-27T12:22:45Z
dc.description.abstract<p>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.<br /></p>
dc.format.pagerange1588
dc.format.pagerange1600
dc.identifier.eissn1469-4417
dc.identifier.jour-issn0143-3857
dc.identifier.olddbid175105
dc.identifier.oldhandle10024/158199
dc.identifier.urihttps://www.utupub.fi/handle/11111/35447
dc.identifier.urlhttps://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/div-classtitlea-note-on-subgroups-of-automorphism-groups-of-full-shiftsdiv/E4E9E78448211F173CB9F6E8AFFEE750
dc.identifier.urnURN:NBN:fi-fe2021042716181
dc.language.isoen
dc.okm.affiliatedauthorSalo, Ville
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherCambridge University Press
dc.publisher.countryUnited Kingdomen_GB
dc.publisher.countryBritanniafi_FI
dc.publisher.country-codeGB
dc.relation.doi10.1017/etds.2016.95
dc.relation.ispartofjournalErgodic Theory and Dynamical Systems
dc.relation.volume38
dc.source.identifierhttps://www.utupub.fi/handle/10024/158199
dc.titleA note on subgroups of automorphism groups of full shifts
dc.year.issued2018

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