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Finitely generated cyclic extensions of free groups are residually finite

Published online by Cambridge University Press:  17 April 2009

Gilbert Baumslag
Gilbert Baumslag
Affiliation:
Rice University, Houston, Texas, USA.
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Abstract

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We establish the result that a finitely generated cyclic extension of a free group is residually finite. This is done, in part, by making use of the fact that a finitely generated module over a principal ideal domain is a direct sum of cyclic modules.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 1 , August 1971 , pp. 87 - 94
Copyright
Copyright © Australian Mathematical Society 1971

References

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