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Article contents
THE PROFINITE COMPLETION OF A PROFINITE PROJECTIVE GROUP
Published online by Cambridge University Press: 23 August 2021
Abstract
We prove that the profinite completion of a profinite projective group is projective.
MSC classification
Primary:
20E18: Limits, profinite groups
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2021. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust
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), 171–238.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), 567–570.CrossRefGoogle Scholar