RELATIVE INTEGRAL BASES OVER A RAY CLASS FIELD

Title & Authors
RELATIVE INTEGRAL BASES OVER A RAY CLASS FIELD
Choi, So-Young;

Abstract
Let K be a number field, $\small{K_n}$ its ray class field with conductor n and L a Galois extension of K containing $\small{K_n}$. We prove that $\small{L/K_n}$ has a relative integral basis (RIB) under certain simple condition. Also we reduce the problem of the existence of a RIB to a quadratic extension of $\small{K_n}$ under some condition.
Keywords
relative integral bases;ray class field;
Language
English
Cited by
References
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