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THE PROFINITE COMPLETION OF A PROFINITE PROJECTIVE GROUP

Published online by Cambridge University Press:  23 August 2021

TAMAR BAR-ON*
Affiliation:
Department of Mathematics, Bar Ilan University, Ramat Gan 5920002, Israel e-mail: [email protected]

Abstract

We prove that the profinite completion of a profinite projective group is projective.

MSC classification

Type
Research Article
Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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Footnotes

*

This research was supported by the Israel Science Foundation (grant No. 630/17).

References

Bar-On, T., The weight of nonstrongly complete profinite groups, J. Group Theory, 000010151520210001 (2021).CrossRefGoogle Scholar
Fried, M. D. and Jarden, M., Field arithmetic, vol. 11 (Springer-Verlag, Berlin Heidelberg New-York 2006).Google Scholar
Nikolov, N. and Segal, D., On finitely generated profinite groups, i: strong completeness and uniform bounds, Ann. Math. 165 (2007), 171238.CrossRefGoogle Scholar
Ribes, L. and Zalesskii, P., Profinite groups (Springer-Verlag, Berlin Heidelberg New-York, 2000).CrossRefGoogle Scholar
Wilson, J. S., A note on the finite images of profinite groups, Illinois J. Math. 47(1–2) (2003), 567570.CrossRefGoogle Scholar