学術雑誌論文 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
ISSN:0030-1566
NII書誌ID(NCID):AA00723502
内容記述
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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http://ousar.lib.okayama-u.ac.jp/files/public/5/53923/20160528123312390422/mjou_058_159_167.pdf

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