The stabilized automorphism group of a subshift
| Autor: | Bryna Kra, Scott Schmieding, Yair Hartman |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
37B10 Algebraic structure General Mathematics 010102 general mathematics Dynamical Systems (math.DS) Type (model theory) Rank (differential topology) Automorphism 01 natural sciences Free abelian group 010101 applied mathematics Mathematics::Group Theory Simple (abstract algebra) Simple group FOS: Mathematics Order (group theory) Mathematics - Dynamical Systems 0101 mathematics Mathematics |
| DOI: | 10.48550/arxiv.2001.09530 |
| Popis: | 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. Comment: 55 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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