Dynamical properties of the automorphism groups of the random poset and random distributive lattice
Dynamical properties of the automorphism groups of the random poset and random distributive lattice
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随机偏序集和随机分布格自同构群的动力学性质
DOI：
10.4064/fm218-1-4
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发表时间：
2012
影响因子：
0.6
通讯作者：
Miodrag Sokic
中科院分区：
文献类型：
--
作者：
A. Kechris;Miodrag Sokic
提出了一种证明可数结构的某些自同构群不相容的方法，并证明了随机偏序集和随机分布格的自同构群是不相容的。将随机分布格的自同构群的泛极小流计算为线性有序的正则空间，但也证明了有限分布格类不允许具有合并性质的遗传有序展开。
A method is developed for proving non-amenability of certain automorphism groups of countable structures and is used to show that the automorphism groups of the random poset and random distributive lattice are not amenable. The universal minimal flow of the automorphism group of the random distributive lattice is computed as a canonical space of linear orderings but it is also shown that the class of finite distributive lattices does not admit hereditary order expansions with the Amalgamation Property.