On metacyclic extensions ∗ Masanari Kida† 1 Introduction

Source URL: matha.e-one.uec.ac.jp

• Galois theory
• Group theory
• Algebraic number theory
• Galois group
• Frobenius group
• Algebraic torus
• Kummer theory
• Field extension
• Metacyclic group
• Abstract algebra
• Algebra
• Field theory

Computing elliptic curves using KASH Masanari K University of Electro-Communications e-mail: [removed] August 18, 2002 Beijing, China

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• Algebraic number theory
• Analytic number theory
• Elliptic curve
• Group theory
• Elliptic functions
• Modular forms
• KANT
• J-invariant
• Algebraic number field
• Abstract algebra
• Algebra
• Mathematics

Kummer theory for D5-extensions

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• Kummer theory
• Polynomial
• Quintic function
• Field
• Splitting field
• Elliptic curve
• Class field theory
• Abstract algebra
• Algebra
• Field theory

言㈲㝎瀰뜰뤰옰 䴀愀最洀愀‰欰蠰譎灩쮐‰溊2㈷

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25th Journes Arithmtiques, July 2–6, 2007, University of Edinburgh and ICMS, Edinburgh, Scotland, UK DESCENT KUMMER THEORY VIA WEIL RESTRICTION OF MULTIPLICATIVE GROUPS MASANARI KIDA

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D5 拡大のクンマー理論 木田雅成 (電気通信大学) 1 序 a と b を有理数体 Q を動くパラメータとするとき, Brumer の 5 次多項式を Bru(a, b; X) = X 5 + (−3 + a)X 4 + (3 + b − a)X 3

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実二次体のあらゆる素点で good reduction をもつ 楕円曲線の計算 電気通信大学 木田 雅成∗ 1

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RIMS Kˆ okyˆ uroku Bessatsu Bx (200x), 000–000 計算代数システム Magma による代数構造の計算

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• Madara
• Ao no Fūin
• Anime
• Shōnen manga
• Anime series

楕円曲線の reduction と base change 電気通信大学 木田雅成 e-mail: [removed] 2002 年 9 月 27 日

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• Yamato Transport
• Hideo Azuma
• Anime
• Anime series
• Japan

群と素数判定法 木田雅成 [removed] 電気通信大学

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