Geodesic
Unsolvability in radicals for a~class of equations of degree five
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 163-164

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An easy sufficient condition for unsolvability in radicals of an irreducible equation of the fifth degree of the Bring–Jerard form defined over $\mathbb Z$ is found. 
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     author = {B. B. Lur'e and M. B. Gladkikh},
     title = {Unsolvability in radicals for a~class of equations of degree five},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a10/}
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B. B. Lur'e; M. B. Gladkikh. Unsolvability in radicals for a~class of equations of degree five. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 163-164. http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a10/