We observe that the group of all lifts of elements of Thompson’s group T to the real line is finitely presented and contains the additive group Q of the rational numbers. This gives an explicit realization of the Higman embedding theorem for Q, answering a Kourovka notebook question of Martin Bridson and Pierre de la Harpe.

Belk, J., Hyde, J., Matucci, F. (2022). Embedding into a finitely presented group. BULLETIN (NEW SERIES) OF THE AMERICAN MATHEMATICAL SOCIETY, 59(4), 561-567 [10.1090/bull/1762].

Embedding into a finitely presented group

Matucci F.
Co-primo
2022

Abstract

We observe that the group of all lifts of elements of Thompson’s group T to the real line is finitely presented and contains the additive group Q of the rational numbers. This gives an explicit realization of the Higman embedding theorem for Q, answering a Kourovka notebook question of Martin Bridson and Pierre de la Harpe.
Articolo in rivista - Articolo scientifico
Embeddings, simplicity, rationals
English
561
567
7
Belk, J., Hyde, J., Matucci, F. (2022). Embedding into a finitely presented group. BULLETIN (NEW SERIES) OF THE AMERICAN MATHEMATICAL SOCIETY, 59(4), 561-567 [10.1090/bull/1762].
Belk, J; Hyde, J; Matucci, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/397185
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