Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures

JOURNAL OF ALGEBRA

卷:580

Article

Calderoni, Filippo¹  Kwiatkowska, Aleksandra^2,3  Tent, Katrin² 

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

[2] Westfalische Wilhelms Univ Munster, Inst Math Log & Grundlagenforsch, Einsteinstr 62, D-48149 Munster, Germany

[3] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

关键词: Simple groups;    Automorphism groups;    Fraisse limits;    Order expansions;    Polish groups;   

DOI  :  10.1016/j.jalgebra.2021.03.028

来源: Elsevier

【 摘 要 】

We define the notions of a free fusion of structures and a weakly stationary independence relation and use them to prove simplicity for the automorphism groups of order and tournament expansions of homogeneous structures like the rational bounded Urysohn space, the random graph, and the random poset. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free