On the Word and Period Growth of some Groups of Tree Automorphisms

Bartholdi, Laurent; Sunik, Zoran

doi:10.1081/AGB-100106794

Scientific article

English

On the Word and Period Growth of some Groups of Tree Automorphisms

ContributorsBartholdi, Laurent; Sunik, Zoran

Published inCommunications in algebra, vol. 29, no. 11, p. 4923-4964

Publication date2001

Abstract

We generalize a class of groups defined by Rostislav Grigorchuk to a much larger class of groups, and provide upper and lower bounds for their word growth (they are all of intermediate growth) and period growth (under a small additional condition, they are periodic).

Classification

arxiv : math.GR

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

BARTHOLDI, Laurent, SUNIK, Zoran. On the Word and Period Growth of some Groups of Tree Automorphisms. In: Communications in algebra, 2001, vol. 29, n° 11, p. 4923–4964. doi: 10.1081/AGB-100106794

Article

Identifiers

PID : unige:12448
DOI : 10.1081/AGB-100106794
arXiv : math/0005113v2

Journal ISSN0092-7872

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On the Word and Period Growth of some Groups of Tree Automorphisms

We generalize a class of groups defined by Rostislav Grigorchuk to a much larger class of groups, and provide upper and lower bounds for their word growth (they are all of intermediate growth) and period growth (under a small additional condition, they are periodic).

Technical informations