翻訳と辞書 Words near each other ・ Prosodarma ・ Prosodia Rationalis ・ Prosodic unit ・ Prosodion ・ Prosody ・ Prosody (Latin) ・ Prosody (linguistics) ・ Prosody (music) ・ Prosody (software) ・ Prosoft Engineering ・ Prosol ・ Prosolanapyrone-II oxidase ・ Prosolanapyrone-III cycloisomerase ・ Prosolenostomus ・ Prosolierius ・ Prosolvable group ・ Prosomphax ・ Prosoniq ・ Prosopagnosia ・ Prosopalpus ・ Prosopalpus debilis ・ Prosopalpus saga ・ Prosopalpus styla ・ Prosopamnesia ・ Prosopanche ・ Prosoparia ・ Prosopea ・ Prosophobia ・ Prosopidastrum ・ Prosopidia Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Prosolvable group ： ウィキペディア英語版 Prosolvable group In mathematics, more precisely in algebra, a prosolvable group (less common: prosoluble group) is a group that is isomorphic to the inverse limit of an inverse system of solvable groups. Equivalently, a group is called prosolvable, if, viewed as a topological group, every open neighborhood of the identity contains a normal subgroup whose corresponding quotient group is a solvable group. == Examples == * Let ''p'' be a prime, and denote the field of p-adic numbers, as usually, by $\backslash mathbf\_p$. Then the Galois group $\backslash text(\backslash overline\_p)$, where $\backslash overline\_p$, is prosolvable. This follows from the fact that, for any finite Galois extension $L$ of $\backslash mathbf\_p$, the Galois group $\backslash text(L/\backslash mathbf\_p)$ can be written as semidirect product $\backslash text(L/\backslash mathbf\_p)=(R\; \backslash rtimes\; Q)\; \backslash rtimes\; P$, with $P$ cyclic of order $f$ for some $f\backslash in\backslash mathbf$, $Q$ cyclic of order dividing $p^f-1$, and $R$ of $p$-power order. Therefore, $\backslash text(L/\backslash mathbf\_p)$ is solvable. 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「Prosolvable group」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.