翻訳と辞書 Words near each other ・ Alternatim ・ Alternating ・ Alternating bit protocol ・ Alternating current ・ Alternating current field measurement ・ Alternating Currents ・ Alternating Currents (album) ・ Alternating Currents (collection) ・ Alternating custody ・ Alternating decision tree ・ Alternating direction implicit method ・ Alternating electric field therapy ・ Alternating factorial ・ Alternating finite automaton ・ Alternating Gradient Synchrotron ・ Alternating group ・ Alternating hemiplegia ・ Alternating hemiplegia of childhood ・ Alternating knot ・ Alternating occlusion training ・ Alternating permutation ・ Alternating planar algebra ・ Alternating polynomial ・ Alternating series ・ Alternating series test ・ Alternating sign matrix ・ Alternating step generator ・ Alternating tree automata ・ Alternating Turing machine ・ Alternating-time Temporal Logic 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 Alternating group ： ウィキペディア英語版 Alternating group In mathematics, an alternating group is the group of even permutations of a finite set. The alternating group on the set is called the alternating group of degree ''n'', or the alternating group on ''n'' letters and denoted by ''A''''n'' or Alt(''n''). == Basic properties == For , the group ''A''''n'' is the commutator subgroup of the symmetric group ''S''''n'' with index 2 and has therefore ''n'' ! / 2 elements. It is the kernel of the signature group homomorphism explained under symmetric group. The group ''A''''n'' is abelian if and only if and simple if and only if or . ''A''5 is the smallest non-abelian simple group, having order 60, and the smallest non-solvable group. The group ''A''4 has a Klein four-group V as a proper normal subgroup, namely the identity and the double transpositions and maps to , from the sequence . In Galois theory, this map, or rather the corresponding map , corresponds to associating the Lagrange resolvent cubic to a quartic, which allows the quartic polynomial to be solved by radicals, as established by Lodovico Ferrari. 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「Alternating 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.