@techreport{b9b99a898cfe4841a6d252c8f687dfd2,

title = "The stabilized automorphism group of a subshift",

abstract = "For a mixing shift of finite type, the associated automorphism group has a rich algebraic structure, and yet we have few criteria to distinguish when two such groups are isomorphic. We introduce a stabilization of the automorphism group, study its algebraic properties, and use them to distinguish many of the stabilized automorphism groups. We also show that for a full shift, the subgroup of the stabilized automorphism group generated by elements of finite order is simple, and that the stabilized automorphism group is an extension of a free abelian group of finite rank by this simple group.",

keywords = "Mathematics - Dynamical Systems, 37B10",

author = "Yair Hartman and Bryna Kra and Scott Schmieding",

year = "2020",

language = "אנגלית",

series = "Arxiv preprint",

edition = "arXiv:2001.09530",

type = "WorkingPaper",

}