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On the degree of repeated radical extensions
Published online by Cambridge University Press: 23 November 2020
Abstract
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
$m_i$
.
MSC classification
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- Article
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- Copyright
- © Canadian Mathematical Society 2020
Footnotes
This paper is dedicated to Natalio H. Guersenzvaig. This research was partially supported by an NSERC grant.
References
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