实二次域的理想类群与其子群

Public

Published in Science in China Series A-Mathematics (in Chinese) • Jun 1, 1997

Authors:

贤科张

,

L. C.Washington

Abstract

给出实二次域K=Q(m)的理想类群含n阶循环子群的充分必要条件,以及满足这些条件的判别方法;并给出具有此性质的8类实二次域,例如m=(zn+t-1)2+4t(其中t|zn-1);后者包含m=4zn+1和m=z2n+4为特例. 所用方法还可以给出许多有此性质的域.

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