Journal Article Restriction on Galois groups by prime inert condition

Komatsu, Toru

58 ( 1 )  , pp.159 - 167 , 2016-01 , Department of Mathematics, Faculty of Science, Okayama University
In this paper, we study number fields K with the property that every prime factor of the degree of K remains prime in K. We determine all types of Galois groups of such K up to degree nine and find that Wang's non-existence in cyclic octic case is exceptionally undetermined by our group-theoretic criterion.

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