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Equations of length 4 and one-relator products

Published online by Cambridge University Press:  16 October 2000

M. EDJVET  and
A. JUHÁSZ
M. EDJVET
Affiliation:
School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD
A. JUHÁSZ
Affiliation:
Department of Mathematics, Technion–Israel Institute of Technology, Haifa 32000, Israel
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Abstract

This paper continues our study started in [5] of the group G defined by the presentation

formula here

where m [ges ] 2, n [ges ] 2 and ∈i = ±1 for 1 [les ] i [les ] 2. The problem under consideration can be stated as: precisely when does both a have order m and b have order n in the group G? This question arose as a result of our investigation into equations over groups and the connection is explained in Section 2.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 129 , Issue 2 , September 2000 , pp. 217 - 230
Copyright
2000 Cambridge Philosophical Society

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