Finitely generated infinite simple groups of homeomorphisms of the real line
| Autor: | Yash Lodha, James Hyde |
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| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Continuum (topology) General Mathematics 010102 general mathematics Group Theory (math.GR) 01 natural sciences primary: 43a07 Simple (abstract algebra) Simple group 0103 physical sciences FOS: Mathematics secondary: 20f05 010307 mathematical physics Finitely-generated abelian group Isomorphism 0101 mathematics Real line Mathematics - Group Theory Mathematics |
| DOI: | 10.48550/arxiv.1807.06478 |
| Popis: | We construct examples of finitely generated infinite simple groups of homeomorphisms of the real line. Equivalently, these are examples of finitely generated simple left (or right) orderable groups. This answers a well known open question of Rhemtulla from 1980 concerning the existence of such groups. In fact, our construction provides a family of continuum many isomorphism types of groups with these properties. Comment: 21 pages. To appear in Inventiones Mathematicae |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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