Free subgroups of normal subgroups of the multiplicative group of skew fields

Lichtman, A. I.

doi:10.1090/S0002-9939-1978-0480623-2

Free subgroups of normal subgroups of the multiplicative group of skew fields
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by A. I. Lichtman

Proc. Amer. Math. Soc. 71 (1978), 174-178

DOI: https://doi.org/10.1090/S0002-9939-1978-0480623-2

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Abstract:

Let D be a skew field, ${D^ \ast }$ its multiplicative group and $H \triangleleft {D^ \ast }$. Then H contains a noncyclic free subgroup F, provided that there exists a nonabelian nilpotent-by-finite subgroup G of H.

References

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Algebra