One-relator groups of exponential growth have uniformly exponential growth

Mathematical Notes

Volumn 69, Issue 3-4, 2001, Pages 575-577

  Grigorchuk, R I ^a   De La Harpe, P ^b  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

Exponential growth; Growth of groups; One relator groups; Uniformly exponential growth

Indexed keywords

EID: 0037908111     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1010224617663     Document Type: Article

References (12)

1. M. Bucher and P. de la Harpe, "Free products with amalgamation and HNN-extensions which are of uniformly exponential growth," Math. Notes (2001) (to appear).
2. M. Gromov, J. Lafontaine, and P. Pansu, Structures métriques pour les variétés riemanniennes, Cedic/F. Nathan, 1981.
3. R. I. Grigorchuk and P. de la Harpe, J. Dynamical Control Systems, 3 (1997), no. 1, 51-89.
4. P. de la Harpe and Topics in Geometric Group Theory, University of Chicago Press (to appear).
5. T. G. Ceccherini-Silberstein and R. I. Grigorchuk, Enseign. Math., 43 (1997), 337-354.
6. A. Karras and D. Solitar, Canad. J. Math., 23 (1971), 627-643.
7. B. Baumslag and S. J. Pride, J. London Math. Soc., 17 (1978), 435-436.
8. M. Gromov, Publ. Math. IHES, and 56 (1982), 5-100.
9. P. B. Shalen and P. Wagreich, Trans. Amer. Math. Soc., 331 (1992), 895-917.
10. G. Baumslag and P. B. Shalen, Comment. Math. Helvetici, 65 (1990), 243-254.
11. R. C. Lyndon and P. E. Schupp, Combinatorial Group Theory, vol. 89, Ergeb. Math. Grenzgeb, Springer, Berlin, 1977.
12. D. B. A. Epstein, Quart. J. Math. Oxford, and 12 (1961), 205-212.