Affiliation:
1. Université de Genève, Section de Mathématiques CP 240, 1211 Genève 24, Switzerland
Abstract
In 1980, Rostislav Grigorchuk constructed an infinite finitely generated torsion 2-group G, called the first Grigorchuk group, and in 1983 showed that it is of intermediate growth, with the following estimates on its growth function γ (See [6]): [Formula: see text] where β= log 32(31)≈ 0.991. He conjectured that the lower bound is actually tight. In this paper we improve the lower bound to [Formula: see text] where α≈0.5157, and thus disproves the conjecture.
Publisher
World Scientific Pub Co Pte Lt
Cited by
12 articles.
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