On a torsion-free weakly branch group defined by a three state automaton

被引：97

作者：

Grigorchuk, RI

Zuk, A

机构：

[1] VA Steklov Math Inst, Moscow 117966, Russia

[2] Ecole Normale Super Lyon, CNRS, Unite Math Pures & Appl, F-69364 Lyon 07, France

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2002年 / 12卷 / 1-2期

关键词：

D O I：

10.1142/S0218196702001000

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a torsion free weakly branch group G without free subgroups defined by a three state automaton which appears in different problems related to amenability, Galois groups and monodromy. Here and in the forthcoming paper [201 we establish several important properties of G related to fractalness, branchness, just infinitness, growth, amenability and presentations.

引用

页码：223 / 246

页数：24

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