On limits of betweenness relations-Reference-Cited by-同舟云学术

On limits of betweenness relations

Published:2023-03-15 Issue:0 Volume:0 Page:
ISSN:1433-5883
Container-title:Journal of Group Theory
language:en
Short-container-title:

Author:

Bradley-Williams David¹^ORCID,Truss John K.²

Affiliation:

1. Mathematisches Institut , Heinrich-Heine-Universität Düsseldorf , Düsseldorf , Germany

2. School of Mathematics , University of Leeds , Leeds , United Kingdom

Abstract

AbstractWe give a flexible method for constructing a wide variety of limits of betweenness relations. This unifies work of Adeleke, who constructed a Jordan group preserving a limit of betweenness relations, and Bhattacharjee and Macpherson who gave an alternative method using a Fraïssé-type construction. A key ingredient in their work is the notion of a tree of 𝐵-sets. We employ this and extend its use to a wider class of examples.

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/jgth-2022-0048/pdf

Reference17 articles.

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2. S. A. Adeleke, On irregular infinite Jordan groups, Comm. Algebra 41 (2013), no. 4, 1514–1546.

3. S. A. Adeleke and D. Macpherson, Classification of infinite primitive Jordan permutation groups, Proc. Lond. Math. Soc. (3) 72 (1996), no. 1, 63–123.

4. S. A. Adeleke and P. M. Neumann, Primitive permutation groups with primitive Jordan sets, J. Lond. Math. Soc. (2) 53 (1996), no. 2, 209–229.

5. S. A. Adeleke and P. M. Neumann, Relations related to betweenness: Their structure and automorphisms, Mem. Amer. Math. Soc. 623 (1998), 1–125.