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

 

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


Author: A. I. Lichtman
Journal: Proc. Amer. Math. Soc. 71 (1978), 174-178
MSC: Primary 16A40; Secondary 20F99
MathSciNet review: 0480623
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1978-0480623-2
PII: S 0002-9939(1978)0480623-2
Keywords: Multiplicative group of division ring, free group
Article copyright: © Copyright 1978 American Mathematical Society