Embedding ℚ into a finitely presented group

IF 2 3区数学 Q1 MATHEMATICS

Bulletin of the American Mathematical Society 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.

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将π嵌入到有限表示群中

我们观察到Thompson群T的元素到实数的所有提升的群是有限的，并且包含有理数的加法群Q\mathbb｛Q｝。这给出了Q\mathbb｛Q｝的Higman嵌入定理的显式实现，回答了Martin Bridson和Pierre de la Harpe的Kourovka笔记本问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the American Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.