Fraïssé limits of limit groups
| Autor: | Olga Kharlampovich, Rizos Sklinos, Alexei Myasnikov |
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| Rok vydání: | 2020 |
| Předmět: |
Class (set theory)
Pure mathematics Algebra and Number Theory 010102 general mathematics 01 natural sciences Exponential function Mathematics::Group Theory Mathematics::Logic 0103 physical sciences Countable set 010307 mathematical physics Limit (mathematics) Finitely-generated abelian group 0101 mathematics Computer Science::Formal Languages and Automata Theory Mathematics |
| Zdroj: | Journal of Algebra. 545:300-323 |
| ISSN: | 0021-8693 |
| DOI: | 10.1016/j.jalgebra.2019.08.003 |
| Popis: | We modify the notion of a Fraisse class and show that various interesting classes of groups, notably the class of nonabelian limit groups and the class of finitely generated elementary free groups, admit Fraisse limits. Furthermore, we rediscover Lyndon's Z [ t ] -exponential completions of countable torsion-free CSA groups, as Fraisse limits with respect to extensions of centralizers. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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