The automorphism group of the Lebesgue measure has no non-trivial subgroups of index $<2^{\omega }$

Maciej Malicki. "The automorphism group of the Lebesgue measure has no non-trivial subgroups of index $< 2^{ω}$." Colloquium Mathematicae 133.2 (2013): 169-174. <http://eudml.org/doc/283656>.

@article{MaciejMalicki2013,
abstract = {We show that the automorphism group Aut([0,1],λ) of the Lebesgue measure has no non-trivial subgroups of index $< 2^\{ω\}$.},
author = {Maciej Malicki},
journal = {Colloquium Mathematicae},
keywords = {Lebesgue measure; automorphism group; small index property; Polish groups; automatic continuity},
language = {eng},
number = {2},
pages = {169-174},
title = {The automorphism group of the Lebesgue measure has no non-trivial subgroups of index $< 2^\{ω\}$},
url = {http://eudml.org/doc/283656},
volume = {133},
year = {2013},
}

TY - JOUR
AU - Maciej Malicki
TI - The automorphism group of the Lebesgue measure has no non-trivial subgroups of index $< 2^{ω}$
JO - Colloquium Mathematicae
PY - 2013
VL - 133
IS - 2
SP - 169
EP - 174
AB - We show that the automorphism group Aut([0,1],λ) of the Lebesgue measure has no non-trivial subgroups of index $< 2^{ω}$.
LA - eng
KW - Lebesgue measure; automorphism group; small index property; Polish groups; automatic continuity
UR - http://eudml.org/doc/283656
ER -