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Embeddings into left‐orderable simple groups

We prove that every countable left‐ordered group embeds into a finitely generated left‐ordered simple group. Moreover, if the first group has a computable left‐order, then the simple group also has a computable left‐order. We also obtain a Boone–Higman–Thompson type theorem for left‐orderable groups...

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Detalles Bibliográficos
Autores principales: Darbinyan, Arman, Steenbock, Markus
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley and Sons Inc. 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9305904/
https://www.ncbi.nlm.nih.gov/pubmed/35910715
http://dx.doi.org/10.1112/jlms.12552

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