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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some properties of certain relatively free groups


Author: T. C. Hurley
Journal: Proc. Amer. Math. Soc. 47 (1975), 317-322
MSC: Primary 20E25
MathSciNet review: 0364459
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Abstract: It is shown that the groups $ F/[{F_n},{F_m}]$, where $ F$ is a free group and $ m,n$ are positive integers such that $ m < n \leq 2m$, are residually ``torsion-free and nilpotent", and the structure of their lower central factors is computed.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0364459-6
Keywords: Relatively free group, residual property, lower central factors
Article copyright: © Copyright 1975 American Mathematical Society