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Diamond theorem for a finitely generated free profinite group

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Abstract

We extend Haran’s Diamond Theorem to closed subgroups of a finitely generated free profinite group. This gives an affirmative answer to Problem 25.4.9 of Fried and Jarden (in Field Arithmetic, 2nd edn, Springer, Berlin Heidelberg, New York, 2005).

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References

  1. Fried, M., Jarden, M.: Field Arithmetic, 2nd edn, revised and enlarged by Moshe Jarden. Ergebnisse der Mathematik (3) 11, Springer, Berlin Heidelberg, New York (2005)

  2. Haran D. (1999). Hilbertian fields under separable algebraic extensions. Invent. Math. 137, 85–112

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  3. Jarden M. (2006). A Karrass-Solitar Theorem for profinite groups. J. Group theory 9, 139–146

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Authors and Affiliations

  1. School of Mathematics, The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv, Israel

    Lior Bary-Soroker

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  1. Lior Bary-Soroker
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Correspondence to Lior Bary-Soroker.

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Bary-Soroker, L. Diamond theorem for a finitely generated free profinite group. Math. Ann. 336, 949–961 (2006). https://doi.org/10.1007/s00208-006-0024-8

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  • DOI: https://doi.org/10.1007/s00208-006-0024-8

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