Geodesic
An example of a $\mathop {\rm PSL}\nolimits _2(\mathbb {F}_7)$-maximal unramified extension of a quartic number field
Kwang-Seob Kim1
1 School of Mathematics Korea Institute for Advanced Study Seoul 130-722, Korea
Acta Arithmetica, Tome 179 (2017) no. 2, pp. 147-162 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $K$ be a number field and $K^{f}_{\rm ur}$ be the maximal extension of $K$ which is unramified over all finite places. We find a quartic field $K$ such that $\operatorname{Gal}(K^f_{\rm ur}/K) \simeq \operatorname{PSL}_2(\mathbb F_7)$ under the assumption of the GRH.
DOI : 10.4064/aa8506-2-2017
Keywords: number field maximal extension which unramified finite places quartic field operatorname gal simeq operatorname psl mathbb under assumption grh

Kwang-Seob Kim 1

1 School of Mathematics Korea Institute for Advanced Study Seoul 130-722, Korea 
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Kwang-Seob Kim. An example of a $\mathop {\rm PSL}\nolimits _2(\mathbb {F}_7)$-maximal unramified extension of a quartic number field. Acta Arithmetica, Tome 179 (2017) no. 2, pp. 147-162. doi: 10.4064/aa8506-2-2017

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