Normal forms of generating pairs for Fuchsian and related groups
type: Item
instance of: scholarly article
title: Normal forms of generating pairs for Fuchsian and related groups
zbMATH Open document ID: 0993.20032
author: F. González-Acuña
author: Arturo Ramírez
published in: Mathematische Annalen
publication date: 2002-05-29T00:00:00Z
review text: It is worth and very helpful to understand the set of all generating pairs of a two-generator group \(G\) via Nielsen equivalence classes and the action of \(\text{GL}(2,\mathbb{Z})\) on the set of conjugacy classes of generating pairs. Here this is done for \(G\) a non-triangular Fuchsian group or a group of the type \(\langle a,b\mid a^p=b^q\rangle\).
reviewed by: Gerhard Rosenberger
Mathematics Subject Classification ID: 20H10
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 1747305
zbMATH Keywords: generating pairs
zbMATH Keywords: two-generator groups
zbMATH Keywords: Nielsen equivalence
zbMATH Keywords: conjugacy classes
zbMATH Keywords: Fuchsian groups
MaRDI profile type: Publication
full work available at URL: s002080100048
OpenAlex ID: W2067058444
DOI: 10.1007/S002080100048
description: scientific article; zbMATH DE number 1747305