Geodesic
On the degree of repeated radical extensions
Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 877-885

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DOI

We answer a question posed by Mordell in 1953, in the case of repeated radical extensions, and find necessary and sufficient conditions for $[F[\sqrt [m_1]{N_1},\dots ,\sqrt [m_\ell ]{N_\ell }]:F]=m_1\cdots m_\ell $, where F is an arbitrary field of characteristic not dividing any $m_i$.
DOI : 10.4153/S0008439520000909
Mots-clés : Radical extension, Galois extension, Vahlen-Capelli irreducibility criterion 
Szechtman, Fernando. On the degree of repeated radical extensions. Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 877-885. doi: 10.4153/S0008439520000909
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     title = {On the degree of repeated radical extensions},
     journal = {Canadian mathematical bulletin},
     pages = {877--885},
     year = {2021},
     volume = {64},
     number = {4},
     doi = {10.4153/S0008439520000909},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000909/}
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