Some properties of certain relatively free groups
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- by T. C. Hurley PDF
- Proc. Amer. Math. Soc. 47 (1975), 317-322 Request permission
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.References
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- A. L. Šmel′kin, Free polynilpotent groups, Izv. Akad. Nauk SSSR Ser. Mat. 28 (1964), 91–122 (Russian). MR 0162857
- Marshall Hall Jr., The theory of groups, The Macmillan Company, New York, N.Y., 1959. MR 0103215
- Hanna Neumann, Varieties of groups, Springer-Verlag New York, Inc., New York, 1967. MR 0215899
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 317-322
- MSC: Primary 20E25
- DOI: https://doi.org/10.1090/S0002-9939-1975-0364459-6
- MathSciNet review: 0364459