Geodesic
Dynamical properties of the automorphism groups of the random poset and random distributive lattice
Alexander S. Kechris 1   ; Miodrag Sokić 1
1 Department of Mathematics California Institute of Technology Pasadena, CA 91125, U.S.A.
Fundamenta Mathematicae, Tome 218 (2012) no. 1, pp. 69-94 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 Property.
DOI : 10.4064/fm218-1-4
Keywords: method developed proving non amenability certain automorphism groups countable structures automorphism groups random poset random distributive lattice amenable universal minimal flow automorphism group random distributive lattice computed canonical space linear orderings shown class finite distributive lattices does admit hereditary order expansions amalgamation property

Alexander S. Kechris  1   ; Miodrag Sokić  1

1 Department of Mathematics California Institute of Technology Pasadena, CA 91125, U.S.A. 
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Alexander S. Kechris; Miodrag Sokić. Dynamical properties of the automorphism groups
 of the random poset and random distributive lattice. Fundamenta Mathematicae, Tome 218 (2012) no. 1, pp. 69-94. doi: 10.4064/fm218-1-4

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