References
R. I. Grigorchuk,Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.],14, No. 1, 53–54 (1980).
R. I. Grigorchuk,Mat. Sb. [Russian Acad. Sci. Sb. Math.],189, No. 1, 79–100 (1998).
P. de la Harpe,Topics in Geometric Group Theory, Univ. Chicago Press, Chicago (1998). Preprint at http://www.unige.ch/math/biblio/preprint/pp98.html, 1998.
J. Milnor,Amer. Math. Monthly,75, No. 6, 685–686 (1968).
R. I. Grigorchuk,Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSR-Izv.], No. 5, 939–985 (1984).
R. I. Grigorchuk,Mat. Sb. [Math. USSR-Sb.],180, No. 2, 207–225 (1989).
G. Klaas, C. R. Leedham-Green, and W. Plesken,Linear Pro-p-Groups of Finite Width, Vol. 1674, Lecture Notes in Math. (1997).
L. Bartholdi and R. I. Grigorchuk, “Lie methods in growth of groups and groups of finite width,” (to appear).
R. I. Grigorchuk, in:Proc. Int. Congress of Math. Kyoto. Japan (1990).
A. V. Rozhkov,Finiteness Conditions in Automorphism Groups of Trees [in Russian], Doctorate thesis in the physicomathematical sciences, Chelyabinsk State University, Chelyabinsk (1996).
Yu. G. Leonov,Mat. Zametki [Math. Notes],64, No. 4, 573–583 (1998).
L. Bartholdi,The growth of Grigorchuk’s torsion group, Preprint.
Author information
Authors and Affiliations
Additional information
Translated fromMatematicheskie Zametki, Vol. 67, No. 3, pp. 475–477, March, 2000.
Rights and permissions
About this article
Cite this article
Leonov, Y.G. On a lower estimate of the growth function for the Grigorchuk group. Math Notes 67, 403–405 (2000). https://doi.org/10.1007/BF02676677
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02676677