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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Thaine's theorem ： ウィキペディア英語版 Thaine's theorem In mathematics, Thaine's theorem is an analogue of Stickelberger's theorem for real abelian fields, introduced by . Thaine's method has been used to shorten the proof of the Mazur–Wiles theorem , to prove that some Tate–Shafarevich groups are finite, and in the proof of Mihăilescu's theorem . ==Formulation== Let $p$ and $q$ be distinct odd primes with $q$ not dividing $p-1$. Let $G^+$ be the Galois group of $F=\backslash mathbb\; Q(\backslash zeta\_p^+)$ over $\backslash mathbb$, let $E$ be its group of units, let $C$ be the subgroup of cyclotomic units, and let $Cl^+$ be its class group. If $\backslash theta\backslash in\backslash mathbb\; Z()$ annihilates $E/CE^q$ then it annihilates $Cl^+/Cl^$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Thaine's theorem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.