논문KCI 등재
Determination of all subfields of cyclotomic function fields with divisor class number two
대한수학회 (The Korean Mathematical Society)|2007.04|대한수학회논문집 (Communications of the KMS)|제22권 제2호|pp. 163-171
1
조회
0
다운로드
1
인용
0
참고문헌
주제분류수학
초록
Abstract
In this paper, we determine all subfields of cyclotomic function fieldswith divisor class number two.We also give the generators of such fields explicitly.
참고문헌 (12)
- "On Hilbert class field towers of global function fields:in ``Drinfeld modules", pp.261~271 (1997), World Sci. Publishing, River Edge, NJ
- "Ray class fields of global function fields with many rational places" (1999), Dissertation at the University of Oldenburg
- "Class numbers of some abelian extensions of rational function fields", 73(245), pp.377~386 (2004)
- "Classification of algebraic function fields with divisor class number two", 2(2), pp.153~172 (1996)
- "The group of units in {rm GF", pp.245~ (1977)
- "The genus field of an algebraic function field", pp.359~ (1992)
- "Divisor class number one problem for abelian extensions over rational function fields { to appear in J"
- "Determination of all subfields of cyclotomic function fields with genus one", 20(2), pp.259~273 (2005)
- "Algebraic function fields with small class number", pp.11~ (1975)
- "Algebraic function fields of class number one", pp.423~20 (1972), { Acta Arith
- "Number theory in function fields", 210 (2002), Springer-Verlag, New York
- "Introduction to cyclotomic fields", 83 (1997), Springer-Verlag, New York
관련 논문AI추천
Determination of all subfields of cyclotomic function fields with genus one안재현, 정환엽대한수학회 · 대한수학회논문집2005 · 제20권 제2호Cylotomic function fields over finite fields with class number threeDilek Buyruk, Ferruh Ozbudak, Mehpare Bilhan대한수학회 · 대한수학회지2019 · 제56권 제2호Cyclotomic units and divisibility of the class number of function fields안재현, 정환엽대한수학회 · 대한수학회지2002 · 제39권 제5호The $p$-part of divisor class numbers for cyclotomic function fieldsDaisuke Shiomi대한수학회 · 대한수학회논문집2023 · 제38권 제3호Class number divisibility of quadratic function fields in even characteristic배성한, 정환엽대한수학회 · 대한수학회보2013 · 제50권 제4호Note on average of class numbers of cubic function fields정환엽강원경기수학회 · 한국수학논문집2014 · 제22권 제3호
이 간행물의 다른 논문 (17건)
Isomorphism of modular group algebras of abelian groups with semi-complete $p$-primary componentsPeter Danchevpp. 157-161Fuzzy subalgebras with thresholds in BCK/BCI-algebras전영배pp. 173-181Composition of Binomial Polynomial최은미pp. 183-194Maximal column rank preservers of integer matrices송석준, 강경태pp. 195-205Corrigendum on ``The Number of Points on Elliptic Curves $E~:y^{2}=x^{3}+cx$ over $\mathbb{F}_{p}$ mod 8"Osman B\.{i}Z\.{i}m, Musa Dem\.{i}rc\.{i}, G\, \.{I}lker \.{I}nam, \.{I}smail Naci Cang\pp. 207-208
