논문KCI 등재
Cylotomic function fields over finite fields with class number three
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초록
We list all subfields of cyclotomic function fields over rational function fields with class number three. We also determine all the imaginary abelian extensions with relative class number three, explicitly.
Abstract
We list all subfields of cyclotomic function fields over rational function fields with class number three. We also determine all the imaginary abelian extensions with relative class number three, explicitly.
참고문헌 (16)
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관련 논문AI추천
HILBERT ℓ-CLASS FIELD TOWERS OF IMAGINARY ℓ-CYCLIC FUNCTION FIELDS정환엽강원경기수학회 · 한국수학논문집2012 · 제20권 제4호Determination of all subfields of cyclotomic function fields with divisor class number two안재현, 정환엽대한수학회 · 대한수학회논문집2007 · 제22권 제2호Hilbert 2-class field towers of imaginary quadratic function fields정환엽대한수학회 · 대한수학회보2013 · 제50권 제3호Hilbert 2-class field towers of inert imaginary quadratic function fields정환엽한국수학교육학회 · 이론수학과 교직수학2013 · 제20권 제2호Class number divisibility of quadratic function fields in even characteristic배성한, 정환엽대한수학회 · 대한수학회보2013 · 제50권 제4호Average of class numbers of some family of Artin-Schreier extensions of rational function fields정환엽강원경기수학회 · 한국수학논문집2016 · 제24권 제4호
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