논문KCI 등재
Cyclotomic units and divisibility of the class number of function fields
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Abstract
Let k = mb F_q(T) be a rational function field. Let ell be aprime number with (ell, q-1)=1. Let K/k be an elementaryabelian ell-extension which is contained in some cyclotomicfunction field. In this paper, we study the ell-divisibility ofideal class number h_K of K by using cyclotomic units.
관련 논문AI추천
Determination of all subfields of cyclotomic function fields with divisor class number two안재현, 정환엽대한수학회 · 대한수학회논문집2007 · 제22권 제2호Cylotomic function fields over finite fields with class number threeDilek Buyruk, Ferruh Ozbudak, Mehpare Bilhan대한수학회 · 대한수학회지2019 · 제56권 제2호Determination of all subfields of cyclotomic function fields with genus one안재현, 정환엽대한수학회 · 대한수학회논문집2005 · 제20권 제2호Class number divisibility of quadratic function fields in even characteristic배성한, 정환엽대한수학회 · 대한수학회보2013 · 제50권 제4호ℓ-RANKS OF CLASS GROUPS OF FUNCTION FIELDS배성한, 정환엽대한수학회 · 대한수학회지2012 · 제49권 제1호The $p$-part of divisor class numbers for cyclotomic function fieldsDaisuke Shiomi대한수학회 · 대한수학회논문집2023 · 제38권 제3호
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