Skip to main content
Log in

On exponential growth and uniformly exponential growth for groups

  • Published:
Inventiones mathematicae Aims and scope

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. Dark, R.S.: Unpublished manuscript (1967)

  2. de la Harpe, P.: Uniform growth in groups of exponential growth. Geom. Dedicata 95, 1–17 (2002)

    Article  MATH  Google Scholar 

  3. Eskin, A., Mozes, S., Oh, H.: Uniform exponential growth for linear groups. Int. Mat. Res. Not. 31, 1675–1683 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  4. Gromov, M.: Structures métriques pour les variétés riemanniennes. Paris: CEDIC 1981

  5. Hall, P.: Wreath powers and characteristically simple groups. Proc. Cambridge Philos. Soc. 58, 170–184 (1962)

    MATH  Google Scholar 

  6. Koubi, M.: Croissance uniforme dans les groupes hyperboliques. Ann. Inst. Fourier 48, 1441–1453 (1998)

    MathSciNet  MATH  Google Scholar 

  7. Miller, G.A.: On the groups generated by two operations. Bull. Am. Math. Soc., New Ser. 7, 424–426 (1901)

    Google Scholar 

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

    MATH  Google Scholar 

  9. Neumann, P.M.: Some questions of Edjvet and Pride about infinite groups. Ill. J. Math. 30, 301–316 (1986)

    MathSciNet  MATH  Google Scholar 

  10. Osin, D.: The entropy of soluble groups. Ergodic Theory Dyn. Syst. To appear

  11. Remmert, R.: Classical Topics in Complex Function Theory. New York: Springer 1998

  12. Segal, D.: The finite images of finitely generated groups. Proc. Lond. Math. Soc. 82, 597–613 (2001)

    MathSciNet  MATH  Google Scholar 

  13. Wilson, J.S.: Groups with every proper quotient finite. Proc. Cambridge Philos. Soc. 69, 373–391 (1971)

    MATH  Google Scholar 

  14. Wilson, J.S.: Economical generating sets for finite simple groups. In: Groups of Lie Type and their Geometries, pp. 289–302. Cambridge: Cambridge University Press 1995

  15. Wilson, J.S.: On abstract and profinite just infinite groups. In: New Horizons in pro-p Groups, pp. 181–203. Boston: Birkhäuser 2000

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to John S. Wilson.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wilson, J. On exponential growth and uniformly exponential growth for groups. Invent. math. 155, 287–303 (2004). https://doi.org/10.1007/s00222-003-0321-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00222-003-0321-8

Keywords

Navigation