Free product of Demushkin groups as absolute Galois group

Published 25 Aug 2024 in math.NT and math.GR | (2408.13875v1)

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

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