Representation of transformations preserving the Lebesgue measure in the form of a product of periodic transformations

DOI10.1007/BF01157015zbMath0603.28016MaRDI QIDQ1082468

V. V. Ryzhikov

Publication date: 1985

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

involutionsinvertible measure-preserving transformationperiodic transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items (4)

Factorization of an automorphism of a complete Boolean algebra into a product of three involutions ⋮ Partitions of the phase space of a measure preserving \(\mathbb{Z}^d\)-action into towers ⋮ Transformations conjugate to their inverses have even essential values ⋮ Undecidability of the elementary theory of groups of measure-preserving transformations

Cites Work

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

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