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Residual finiteness of cyclic extensions of certain free products

Published online by Cambridge University Press:  17 April 2009

Benjamin Baumslag ,
Narain Gupta  and
Frank Levin
Benjamin Baumslag
Affiliation:
Department of Mathematics, Imperial College of Science and Technology, London, England
Narain Gupta
Affiliation:
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada
Frank Levin
Affiliation:
Institut für Mathematik, Ruhr-Universität Bochum, Bochum, Federal Republic of Germany
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Abstract

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We prove that a cyclic extension of a free product of finite p-groups is residually finite, p a fixed prime. The question of cyclic extensions of free products of arbitrary cyclic groups remains open.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 19 , Issue 2 , October 1978 , pp. 197 - 203
Copyright
Copyright © Australian Mathematical Society 1979

References

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