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arXiv · 2006.07951

On the degree of repeated radical extensions

Fernando Szechtman
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Abstract

We answer a question posed by Mordell in 1953, in the case 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 $m_i$.

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Fernando Szechtman. 2020-06-14. On the degree of repeated radical extensions. https://doi.org/10.4153/s0008439520000909

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