Faithful group actions on rooted trees induced by actions of quotients

被引：3

作者：

Lavrenyuk, Yaroslav

Mazorchuk, Volodymyr

Oliynyk, Andriy

Sushchansky, Vitaliy

机构：

[1] Silesian Tech Univ, Inst Math, PL-44100 Gliwice, Poland

[2] Kyiv Taras Shevchenko Univ, Dept Mech & Math, Kiev, Ukraine

[3] Uppsala Univ, Dept Math, S-75238 Uppsala, Sweden

来源：

COMMUNICATIONS IN ALGEBRA | 2007年 / 35卷 / 11期

关键词：

amalgamated free product; automorphisms of rooted tree; braid group; finite state; automata; rooted tree;

D O I：

10.1080/00914030701410237

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop some new techniques of constructing (finite state) actions on rooted homogeneous trees and apply them to various groups. In particular we show that there is a faithful action of each amalgameted free product of the form Z * (Z) Z on a rooted homogeneous tree of finite degree, described by finite state automorphisms.

引用

页码：3759 / 3775

页数：17

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