The automorphism group of the Lebesgue measure has no non-trivial subgroups of index $<2^{\omega} $
Volume 133 / 2013
Colloquium Mathematicum 133 (2013), 169-174
MSC: Primary 54H15.
DOI: 10.4064/cm133-2-2
Abstract
We show that the automorphism group ${\rm Aut }([0,1],\lambda )$ of the Lebesgue measure has no non-trivial subgroups of index $<2^\omega $.
