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

• Autorzy: Alexander S. Kechris , Miodrag Sokić
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 43A07: Means on groups, semigroups, etc.; amenable groups
• 05D10: Ramsey theory
• 03C15: Denumerable structures
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 218
• Numer: 1
• Strony: 69-94

Daty

wydano

2012

Twórcy

autor

Alexander S. Kechris

• Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, U.S.A.

autor

Miodrag Sokić

• Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, U.S.A.

Identyfikatory

DOI

10.4064/fm218-1-4