On the simplicity of the full group of ergodic transformations

DOI10.1007/BF02761375zbMath0489.28013MaRDI QIDQ1166643

Stanley Eigen

Publication date: 1981

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

full group of an invertible, non-singular, ergodic transformationunique normal subgroup

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15)

Related Items (5)

Factorization of an automorphism of a complete Boolean algebra into a product of three involutions ⋮ Connected Polish groups with ample generics ⋮ Chief factors in Polish groups ⋮ On full groups of non-ergodic probability-measure-preserving equivalence relations ⋮ Some remarks on topological full groups of Cantor minimal systems II

Cites Work

• Orbits, sections, and induced transformations
• Le groupe des transformations de \([0,1\) qui preservent la mesure de Lebesgue est un groupe simple]
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