RELATIVE INTEGRAL BASES OVER A RAY CLASS FIELD
RELATIVE INTEGRAL BASES OVER A RAY CLASS FIELD
Let K be a number field, <TEX>$K_n$</TEX> its ray class field with conductor n and L a Galois extension of K containing <TEX>$K_n$</TEX>. We prove that <TEX>$L/K_n$</TEX> has a relative integral basis (RIB) under certain simple condition. Also we reduce the problem of the existence of a RIB to a …