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Hausdorff dimension and subgroups of SU(2)

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Abstract

We prove that any Borel measurable proper dense subgroup of SU(2) has Hausdorff dimension zero.

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Authors and Affiliations

  1. Institute of mathematics, The Hebrew University of Jerusalem, Givat Ram, Jerusalem, 91904, Israel

    Elon Lindenstrauss

  2. CNRS - Université Paris-Nord, LAGA, 93430, Villetaneuse, France

    Nicolas de Saxcé

Authors
  1. Elon Lindenstrauss
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  2. Nicolas de Saxcé
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Corresponding author

Correspondence to Elon Lindenstrauss.

Additional information

Both authors were supported by ERC AdG Grant 267259

E. L. was supported also by ISF Grant 983/09

N. S. acknowleges partial support from ANR-12-BS01-0011 (CAESAR)

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Lindenstrauss, E., Saxcé, N.d. Hausdorff dimension and subgroups of SU(2). Isr. J. Math. 209, 335–354 (2015). https://doi.org/10.1007/s11856-015-1221-5

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  • DOI: https://doi.org/10.1007/s11856-015-1221-5

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