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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Lifting primitivity of free nilpotent groups


Authors: C. K. Gupta and N. D. Gupta
Journal: Proc. Amer. Math. Soc. 114 (1992), 617-621
MSC: Primary 20F18; Secondary 20E05, 20F28
MathSciNet review: 1088442
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Abstract: Let $ {F_{n,c}}$ denote the free $ n$-generator nilpotent group of class $ c$. For $ n \geq c + m - 1$, every primitive system of $ m$ elements of $ {F_{n,c}}$ can be lifted to a primitive system of $ m$ elements of the free group $ {F_n}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1088442-0
PII: S 0002-9939(1992)1088442-0
Keywords: Free groups, free nilpotent groups, primitive systems, automorphism groups
Article copyright: © Copyright 1992 American Mathematical Society



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