Abstract
We prove that in a simple real Lie group, there is no Borel measurable dense subgroup of intermediate Hausdorff dimension.
Citation
Nicolas de Saxcé. "Borelian subgroups of simple Lie groups." Duke Math. J. 166 (3) 573 - 604, 15 February 2017. https://doi.org/10.1215/00127094-3715410
Information
Received: 27 February 2015; Revised: 6 April 2016; Published: 15 February 2017
First available in Project Euclid: 19 October 2016
zbMATH: 1362.22010
MathSciNet: MR3606726
Digital Object Identifier: 10.1215/00127094-3715410
Subjects:
Primary:
22E30
Secondary:
05E15
,
28A78
Keywords:
Hausdorff dimension
,
Lie groups
,
product sets
Rights: Copyright © 2017 Duke University Press
