East Asian mathematical journal

  • 제38권5호
  • /
  • Pages.583-591
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  • 2022
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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FORM CLASS GROUPS ISOMORPHIC TO THE GALOIS GROUPS OVER RING CLASS FIELDS

  • Yoon, Dong Sung (Department of Mathematics Education Pusan National University)
  • 투고 : 2022.05.19
  • 심사 : 2021.06.30
  • 발행 : 2022.09.30
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초록

Let K be an imaginary quadratic field and 𝒪 be an order in K. Let H𝒪 be the ring class field of 𝒪. Furthermore, for a positive integer N, let K𝒪,N be the ray class field modulo N𝒪 of 𝒪. When the discriminant of 𝒪 is different from -3 and -4, we construct an extended form class group which is isomorphic to the Galois group Gal(K𝒪,N/H𝒪) and describe its Galois action on K𝒪,N in a concrete way.

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과제정보

This work was supported by a 2-Year Research Grant of Pusan National University.

참고문헌

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