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학술저널

ON HILBERT 2-CLASS FIELD TOWERS OF REAL QUADRATIC FUNCTION FIELDS

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In this paper we prove that real quadratic function ¯eld F over Fq(T) has in¯nite 2-class ¯eld tower if the 4-rank of narrow ideal class group of F is equal to or greater than 4 when q ´ 3 mod 4.

1. Introduction and statement of main result

2. Preliminaries

3. Proof of Theorem 1.1

References

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