REAL QUADRATIC NUMBER FIELDS WITH 2-CLASS GROUP OF TYPE (2,2)

摘要

Let k be a real quadratic number field with the 2-Sylow subgroup of its ideal class group isomorphic to Z/2Z x 2/2Z and with discriminant divisible by a prime congruent to 3 mod 4. We use graph theory to describe the structure of the Galois group of the second 2-Hilbert class field of k over k.