The Genesis of a Theorem

John Labute

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arXiv · 2406.08233

The Genesis of a Theorem

John Labute

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Abstract

In this article we trace the genesis of a theorem that gives for the first time examples of Galois group $G_S$ of the maximal $p$-extension of $\mathbb{Q}$, unramified outside a finite set of primes not containing $p$, that are of cohomological dimension $2$. The pro-$p$-group $G_S$ is a fab pro-$p$-group which means that all its derived factors are finite.

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John Labute. 2024-06-12. The Genesis of a Theorem. https://arxiv.org/abs/2406.08233

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