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Subgroups of free pro-p-products

Published online by Cambridge University Press:  24 October 2008

Wolfgang Herfort  and
Luis Ribes
Wolfgang Herfort
Affiliation:
Institut für Numerische und Angewandte Mathematik, Technische Universität Wien, Austria
Luis Ribes
Affiliation:
Department of Mathematics and Statistics, Carleton University, Ottawa, Ontario K1S 5B6, Canada
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Extract

If F is a free profinite group, it is well known that the closed subgroups of F need not be free profinite; however, if p is a prime number, every closed subgroup of a free pro-p-group is free pio-p (cf. [2, 8, 7]). In this paper we show that there is an analogous contrast regarding the closed subgroups of free products in the category of profinite groups, and the closed subgroups of free products in the category of pro-p-groups, at least for (topologically) finitely generated subgroups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 101 , Issue 2 , March 1987 , pp. 197 - 206
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

REFERENCES

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