On copies of the absolute Galois group in $\mathrm{Out}\hat{F}_2$

Robert A. Kucharczyk

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arXiv · 1210.2349

On copies of the absolute Galois group in $\mathrm{Out}\hat{F}_2$

Robert A. Kucharczyk

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Abstract

In this article we consider outer Galois actions on a free profinite group of rank two, induced by the étale fundamental group of a projective line minus three points or of a pointed elliptic curve over a number field. Under mild technical assumptions their respective images uniquely determine the curves and the number fields.

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BibTeX RIS

Robert A. Kucharczyk. 2015-02-01. On copies of the absolute Galois group in $\mathrm{Out}\hat{F}_2$. https://arxiv.org/abs/1210.2349

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