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An alternative proof of a theorem of Iwasawa on free groups

Published online by Cambridge University Press:  24 October 2008

Lee Neuwirth
Lee Neuwirth
Affiliation:
Institute for Defense AnalysesPrinceton, N.J.
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Extract

The following well-known theorem has been proved by Iwasawa(1) and can also be deduced without much difficulty from earlier work of Levi(2), Magnus and Witt.

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 4 , October 1961 , pp. 895 - 896
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

(1)Iwasawa, K., Einige Sätze über freie Gruppen. Proc. Japan Acad. 19 (1943), 272–4.Google Scholar
(2)Levi, F. W., Über die Untergruppen der freien Gruppen. Math. Z. 37 (1933), 90–7.CrossRefGoogle Scholar