Restriction on Galois groups by prime inert condition

• Komatsu Toru

抄録

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.

収録刊行物

• Mathematical Journal of Okayama University

  Mathematical Journal of Okayama University 58 (1), 159-167, 2016-01

  Department of Mathematics, Faculty of Science, Okayama University

キーワード

• Inverse Galois theory
• prime factorization

詳細情報

• CRID: 1390572174776687360
• NII論文ID: 120005688912
• NII書誌ID: AA00723502
• ISSN: 00301566
• DOI: 10.18926/mjou/53923
• Web Site: https://ousar.lib.okayama-u.ac.jp/53923
• 本文言語コード: en
• データソース種別:
  • JaLC
  • IRDB
  • CiNii Articles