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Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures
Journal of Algebra ( IF 0.8 ) Pub Date : 2021-04-01 , DOI: 10.1016/j.jalgebra.2021.03.028 Filippo Calderoni , Aleksandra Kwiatkowska , Katrin Tent
中文翻译:
齐次结构的自同构群和竞赛展开的简洁性。
更新日期:2021-04-09
Journal of Algebra ( IF 0.8 ) Pub Date : 2021-04-01 , DOI: 10.1016/j.jalgebra.2021.03.028 Filippo Calderoni , Aleksandra Kwiatkowska , Katrin Tent
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.
中文翻译:
齐次结构的自同构群和竞赛展开的简洁性。
我们定义了结构的自由融合和弱静态独立关系的概念,并用它们证明了有序有序Urysohn空间,随机图和随机坐姿等同构结构的自同构群和阶展开的自同构群。