Jordan permutation groups and limits of 𝐷-relations-Reference-Cited by-同舟云学术

Jordan permutation groups and limits of 𝐷-relations

Published:2021-11-10 Issue:0 Volume:0 Page:
ISSN:1435-4446
Container-title:Journal of Group Theory
language:en
Short-container-title:

Author:

Almazaydeh Asma Ibrahim¹,Macpherson Dugald²

Affiliation:

1. Department of Mathematics , Tafila Technical University , Tafila , Jordan

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

Abstract

Abstract We construct via Fraïssé amalgamation an 𝜔-categorical structure whose automorphism group is an infinite oligomorphic Jordan primitive permutation group preserving a “limit of 𝐷-relations”. The construction is based on a semilinear order whose elements are labelled by sets carrying a 𝐷-relation, with strong coherence conditions governing how these 𝐷-sets are inter-related.

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/jgth-2020-0083/pdf

Reference25 articles.

1. S. A. Adeleke, Semilinear tower of Steiner systems, J. Combin. Theory Ser. A 72 (1995), no. 2, 243–255.

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, Infinite bounded permutation groups, J. Lond. Math. Soc. (2) 53 (1996), no. 2, 230–242.

5. 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.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On limits of betweenness relations;Journal of Group Theory;2023-03-15