The automorphism group of the Lebesgue measure has no non-trivial subgroups of index <2ω

DOI10.4064/cm133-2-2zbMath1307.22011OpenAlexW2325215629MaRDI QIDQ2868714

Maciej Malicki

Publication date: 18 December 2013

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm133-2-2

zbMATH Keywords

automorphism groupautomatic continuityLebesgue measuresmall index propertyPolish groups

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Groups as automorphisms of other structures (22F50)

Related Items (4)

CONSEQUENCES OF THE EXISTENCE OF AMPLE GENERICS AND AUTOMORPHISM GROUPS OF HOMOGENEOUS METRIC STRUCTURES ⋮ AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS ⋮ GREY SUBSETS OF POLISH SPACES ⋮ Polish topologies on groups of non-singular transformations

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