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Residual finiteness of certain 1-relator groups: extensions of results of Gilbert Baumslag

Published online by Cambridge University Press:  24 October 2008

R. B. J. T. Allenby  and
C. Y. Tang
R. B. J. T. Allenby
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds L82 9JT
C. Y. Tang
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada
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Extract

Let be the class of groups which can be presented in the form

where u, v are positive words on the generators g, h, …, k and where each generator appears in uv−1 with zero exponent sum. Let be the class of groups which can be presented in the form

where u, v are words (not necessarily positive) on the disjoint sets of generators c1, …, cm and d1, …, dn and where [u, v] = u−1v−1uv.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 2 , March 1985 , pp. 225 - 230
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

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