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Isoclinism classes of Galois groups of number fields

Volume 191 / 2019

Masanari Kida, Genki Koda Acta Arithmetica 191 (2019), 115-149 MSC: 11R32, 11R21, 11R42. DOI: 10.4064/aa180213-6-12 Published online: 16 September 2019

Abstract

The notion of isoclinism was introduced by P. Hall in 1940 to classify finite $p$-groups. We show that this notion also plays an important role in classifying Galois groups of number fields.

Authors

  • Masanari KidaDepartment of Mathematics
    Faculty of Science Division I
    Tokyo University of Science
    1-3 Kagurazaka Shinjuku
    Tokyo 162-8601, Japan
    e-mail
  • Genki KodaDepartment of Mathematics
    Faculty of Science Division I
    Tokyo University of Science
    1-3 Kagurazaka Shinjuku
    Tokyo 162-8601, Japan
    e-mail

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