Skip to main content
Log in

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. L. Auslander, E. Schenkman, Free groups and Hirsch-Plotkin radicals,Proc. A.M.S.,16 (1965), 784–788.

    Article  MATH  Google Scholar 

  2. J. Cheeger, D. Ebin,Comparison theorems in Riemannian geometry, North-Holland, 1975.

  3. V. Efremovič, The proximity geometry of Riemannian manifolds,Uspehi Mat. Nauk,8 (1953), 189 (Russian).

    Google Scholar 

  4. D. Epstein, M. Shub, Expanding endomorphisms of flat manifolds,Topology,7 (1968), 13–141.

    Article  Google Scholar 

  5. M. Gromov, Synthetic geometry of Riemannian manifolds,Proc. I.C.M. Helsinki, 1978, vol. I, 415–419 (1979).

    Google Scholar 

  6. M. Hirsch, Expanding maps and transformation groups,Proc. Symp. Pure Math., XIV (1970), 125–133.

    Google Scholar 

  7. W. Hurewicz, H. Wallman,Dimension Theory, Princeton U. Press, 1948.

  8. J. Milnor, A note on curvature and fundamental group,J. Diff. Geom.,2 (1968), 1–7.

    MATH  Google Scholar 

  9. D. Montgomery, L. Zippin,Topological transformation groups, Interscience, N. Y., 1955.

    MATH  Google Scholar 

  10. M. Raghunathan,Discrete subgroups of Lie groups, Springer, Berlin, 1972.

    MATH  Google Scholar 

  11. M. Shub, Expanding maps,Proc. Symp. Pure Math. XIV (1970), 273–277.

    Google Scholar 

  12. A. Švarc, A volume invariant of coverings,Dokl. Akad. Nauk SSSR,105 (1955), 32–34.

    Google Scholar 

  13. J. Tits, Free subgroups in linear groups,J. Algebra,20 (1972), 250–270.

    Article  MATH  Google Scholar 

  14. J. Wolf, Growth of finitely generated solvable groups and curvature of Riemannian manifolds,J. Diff. Geom.,2 (1968), 421–446.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Gromov, M. Groups of polynomial growth and expanding maps. Publications Mathématiques de L’Institut des Hautes Scientifiques 53, 53–78 (1981). https://doi.org/10.1007/BF02698687

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02698687

Keywords

Navigation