학술저널
REDEI MATRIX IN FUNCTION FIELDS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 19, No. 4
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2006.121 - 6 (6 pages)
- 0
Let K be a finite cyclic extension of k = F q (T ) of prime degree `. Let e Cl K,` be the Sylow `-subgroup of the ideal class group e Cl K of O K . The structure of e Cl K,` as Z ` [G]/hN G i-module is determined the dimensions λ i := dim F ` ( e Cl K,` ) for i ≥ 1. In this paper we investigate the dimensions λ 1 and λ 2 .
1. Introduction
2. Narrow genus field and dimension λ 1
3. Redei matrix and dimension λ 2
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