Geodesic
Cyclic Galois extensions for quintic equation
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 29, Tome 443 (2016), pp. 78-90

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The authors investigate cyclic Galois extensions for quintic equation, and construct resolvent for real fields and fields, containing square root of $-1$. Also they prove a theorem that characterizes all Galois extensions for quintics. 
@article{ZNSL_2016_443_a6,
     author = {K. Y. Gudkov and B. B. Lur'e},
     title = {Cyclic {Galois} extensions for quintic equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {78--90},
     publisher = {mathdoc},
     volume = {443},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_443_a6/}
}
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K. Y. Gudkov; B. B. Lur'e. Cyclic Galois extensions for quintic equation. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 29, Tome 443 (2016), pp. 78-90. http://geodesic.mathdoc.fr/item/ZNSL_2016_443_a6/