翻訳と辞書 Words near each other ・ P-cycle protection ・ P-Cymene ・ P-Delta Effect ・ P-derivation ・ P-Dimethylaminocinnamaldehyde ・ P-factor ・ P-FEM ・ P-form electrodynamics ・ P-Funk ・ P-Funk Earth Tour ・ P-Funk Mothership ・ P-Funk mythology ・ P-glycoprotein ・ P-GRADE Portal ・ P-Grid ・ P-group ・ P-group generation algorithm ・ P-hydroxybenzoate hydroxylase ・ P-Hydroxynorephedrine ・ P-Laplacian ・ P-Magazine ・ P-matrix ・ P-Menthane-3,8-diol ・ P-Model ・ P-Model (album) ・ P-Modeling Framework ・ P-Money ・ P-nuclei ・ P-O-X ・ P-P 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 P-group ： ウィキペディア英語版 P-group In mathematical group theory, given a prime number ''p'', a ''p''-group is a group in which each element has a power of ''p'' as its order. That is, for each element ''g'' of a ''p''-group, there exists a nonnegative integer ''n'' such that the product of ''pn'' copies of ''g'', and not less, is equal to the identity element. The orders of different elements may be different powers of ''p''. Such groups are also called ''p''-primary or simply primary. A finite group is a ''p''-group if and only if its order (the number of its elements) is a power of ''p''. Given a finite group ''G'', the Sylow theorems guarantee for every prime power ''pn'' that divides the order of ''G'' the existence of a subgroup of ''G'' of order ''pn''. The remainder of this article deals with finite ''p''-groups. For an example of an infinite abelian ''p''-group, see Prüfer group, and for an example of an infinite simple ''p''-group, see Tarski monster group. ==Properties== Every ''p''-group is periodic since by definition every element has finite order. 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「P-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.