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Recognizing powers in nilpotent groups and nilpotent images of free groups

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Gilbert Baumslag
Gilbert Baumslag
Affiliation:
Department of Mathematics and Computer Science City College of New York New York, N.Y. [email protected]
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Abstract

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An element in a free group is a proper power if and only if it is a proper power in every nilpotent factor group. Moreover there is an algorithm to decide if an element in a finitely generated torsion-free nilpotent group is a proper power.

MSC classification

Secondary: 20F18: Nilpotent groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 83 , Issue 2 , October 2007 , pp. 149 - 156
Copyright
Copyright © Australian Mathematical Society 2007

References

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