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Diamond Theorem for finitely generated Profinite free Group

L. Bary-Soroker
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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 in the book Field Arithmetics of Fried and Jarden.

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L. Bary-Soroker. 2006-05-07. Diamond Theorem for finitely generated Profinite free Group. https://arxiv.org/abs/math/0509304

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