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Diameter of homogeneous spaces: an effective account

Group Theory 2018-11-16 v1 Dynamical Systems Number Theory

Abstract

In this paper we prove explicit estimates for the size of small lifts of points in homogeneous spaces. Our estimates are polynomially effective in the volume of the space and the injectivity radius.

Keywords

Cite

@article{arxiv.1811.06253,
  title  = {Diameter of homogeneous spaces: an effective account},
  author = {Amir Mohammadi and Alireza Salehi Golsefidy and François Thilmany},
  journal= {arXiv preprint arXiv:1811.06253},
  year   = {2018}
}

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31 pages