Displaying similar documents to “Random posets, lattices, and lattices terms”

Dynamical properties of the automorphism groups of the random poset and random distributive lattice

Alexander S. Kechris, Miodrag Sokić (2012)

Fundamenta Mathematicae

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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...

The automorphism group of the random lattice is not amenable

Maciej Malicki (2014)

Fundamenta Mathematicae

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We prove that the automorphism group of the random lattice is not amenable, and we identify the universal minimal flow for the automorphism group of the random distributive lattice.