Embedding ℚ into a finitely presented group

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2022-08-11 DOI:10.1090/bull/1762

James M. Belk, J. Hyde, Francesco Matucci

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引用次数: 8

Abstract

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