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Recognizing powers in nilpotent groups and nilpotent images of free groups
- Source :
- Journal of the Australian Mathematical Society. 83:149-156
- Publication Year :
- 2007
- Publisher :
- Cambridge University Press (CUP), 2007.
-
Abstract
- 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.
Details
- ISSN :
- 14468107 and 14467887
- Volume :
- 83
- Database :
- OpenAIRE
- Journal :
- Journal of the Australian Mathematical Society
- Accession number :
- edsair.doi...........2989458c5d77bab1d8a5b30c922848a0
- Full Text :
- https://doi.org/10.1017/s1446788700036843