# RELATIVE INTEGRAL BASES OVER A RAY CLASS FIELD

• Published : 2006.02.01
• 55 15

#### Abstract

Let K be a number field, $K_n$ its ray class field with conductor n and L a Galois extension of K containing $K_n$. We prove that $L/K_n$ 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 $K_n$ under some condition.

#### Keywords

relative integral bases;ray class field

#### References

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