{"title":"Extended symmetry groups of multidimensional subshifts with hierarchical structure","authors":"Álvaro Bustos","doi":"10.3934/dcds.2020250","DOIUrl":null,"url":null,"abstract":"In this contribution, we discuss the automorphism group, i.e., the centralizer of the shift action inside the group of self-homeomorphisms of a subshift, together with the extended symmetry group (the corresponding normalizer) of certain Zd subshifts with a hierarchical structure, like bijective substitutive subshifts and the Robinson tiling.","PeriodicalId":335105,"journal":{"name":"2019-20 MATRIX Annals","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019-20 MATRIX Annals","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/dcds.2020250","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
In this contribution, we discuss the automorphism group, i.e., the centralizer of the shift action inside the group of self-homeomorphisms of a subshift, together with the extended symmetry group (the corresponding normalizer) of certain Zd subshifts with a hierarchical structure, like bijective substitutive subshifts and the Robinson tiling.