Free product of Demushkin groups as absolute Galois group

Tamar Bar-On

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arXiv · 2408.13875

Free product of Demushkin groups as absolute Galois group

Tamar Bar-On

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Abstract

We prove that a free profinite (pro-$p$) product over a set converging to 1 of countably many Demushkin groups of rank $\aleph_0$, $G_i$, that can be realized as absolute Galois groups, is isomorphic to an absolute Galois group if and only if $\log_pq(G_i)\to \infty$.

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Tamar Bar-On. 2024-08-25. Free product of Demushkin groups as absolute Galois group. https://arxiv.org/abs/2408.13875

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