Primitive elements in the free product of two finite cyclic groups
type: Item
instance of: scholarly article
title: Primitive elements in the free product of two finite cyclic groups
zbMATH Open document ID: 0846.20028
DOI: 10.1007/BF02953334
author: Martin Lustig
author: E.-M. Thiele
author: Heiner Zieschang
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1996-09-25T00:00:00Z
review text: In a two-generator non-cyclic group an element \(u\) is called primitive if there exists an element \(v\) such that \(u\) and \(v\) generate the whole group. Here, for the free product \(G = \langle s, t\); \(s^a = t^b = 1\rangle\), \(a, b \geq 2\), of two cyclic groups there is given a complete description of those \(u \in G\) which are primitive.
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20H10
zbMATH DE Number: 878385
zbMATH Keywords: primitive elements
zbMATH Keywords: free products of cyclic groups
reviewed by: Gerhard Rosenberger
MaRDI profile type: Publication
cites work: Primitives in the free group on two generators
full work available at URL: https://doi.org/10.1007/bf02953334
OpenAlex ID: W2018896741
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description: scientific article; zbMATH DE number 878385