THE EXPONENT 2-CLASS-GROUP PROBLEM FOR NON-GALOIS OVER Q-QUARTIC FIELDS THAT ARE QUADRATIC EXTENSIONS OF IMAGINARY QUADRATIC FIELDS

[摘要] Focusing on a particular case, we will show that one can explicitly determine the quartic fields K that have ideal class groups of exponent less-than-or-equal-to 2, provided that K/Q is not normal, provided that K is a quadratic extension of a fixed imaginary quadratic number field, and provided that the regulator of K is not too large compared with the discriminant of K. (C) 1994 Academic Press, Inc.

[发布日期] 1994-11-01