The Residual Finiteness of Certain One-Relator Groups

R. B. J. T. Allenby; L. E. Moser; C. Y. Tang

doi:10.2307/2043027

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The Residual Finiteness of Certain One-Relator Groups

R. B. J. T. Allenby L. E. Moser C. Y. Tang

Year: 1980 Journal: Proceedings of the American Mathematical Society Vol: 78 (1)Pages: 8-8 Publisher: American Mathematical Society

DOI: 10.2307/2043027

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Abstract

We prove that the groups $\langle a,b;{({a^{ - 1}}{b^l}a{b^m})^t}\rangle$, where $l,m,t \in Z$ and $t \geqslant 2$ are residually finite ${(_R}F)$, thus establishing a conjecture of G. Baumslag [Bull. Amer. Math. Soc. 73 (1967), 618-620].

Keywords:

Mathematics Conjecture Residual Pure mathematics Combinatorics Algorithm

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Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

graph theory and CDMA systems

Physical Sciences → Engineering → Electrical and Electronic Engineering

Limits and Structures in Graph Theory

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

The Residual Finiteness of Certain One-Relator Groups

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