학술저널
HILBERT 2-CLASS FIELD TOWERS OF IMAGINARY QUADRATIC FUNCTION FIELDS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 4
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2010.12699 - 704 (6 pages)
- 2
In this paper, we prove that the Hilbert 2-class ¯eld tower of an imaginary quadratic function ¯eld F = k(p D) is in¯nite if r2(C(F)) = 4 and exactly one monic irreducible divisor of D is of odd degree, except for one type of R¶edei matrix of F. We also compute the density of such imaginary quadratic function ¯elds F.
1. Introduction and statement of results
2. Preliminaries
3. Proof of Theorems
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