[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2022.034

FORM CLASS GROUPS ISOMORPHIC TO THE GALOIS GROUPS OVER RING CLASS FIELDS

Yoon, Dong Sung (Department of Mathematics Education Pusan National University)

Publication Information

East Asian mathematical journal / v.38, no.5, 2022 , pp. 583-591 More about this Journal

Abstract

Let K be an imaginary quadratic field and 𝒪 be an order in K. Let H_𝒪 be the ring class field of 𝒪. Furthermore, for a positive integer N, let K_𝒪,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(K_𝒪,N/H_𝒪) and describe its Galois action on K_𝒪,N in a concrete way.

Keywords

Class field theory; form class groups;

Citations & Related Records

Reference

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