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- W6415390 abstract "AbstractThe issue of extending a given Galois group is conveniently expressed in terms of embedding problems. If the kernel is an abelian group, a natural method, due to Serre, reduces the problem to the computation of an étale cohomology group, that can in turn be carried out thanks to Grothendieck-Ogg-Shafarevich formula. After introducing these tools, we give two applications to fundamental groups of curves.KeywordsFundamental groups of curvesembedding problemsGrothendieck-Ogg-Shafarevich formula" @default.
- W6415390 created "2016-06-24" @default.
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- W6415390 date "2012-11-10" @default.
- W6415390 modified "2023-09-23" @default.
- W6415390 title "Extension of Galois Groups by Solvable Groups, and Application to Fundamental Groups of Curves" @default.
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- W6415390 doi "https://doi.org/10.1007/978-3-0348-0487-5_5" @default.
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