翻訳と辞書 Words near each other ・ Cyclic microcellular foaming ・ Cyclic model ・ Cyclic module ・ Cyclic negation ・ Cyclic neutropenia ・ Cyclic nucleotide ・ Cyclic nucleotide gated channel beta 3 ・ Cyclic nucleotide phosphodiesterase ・ Cyclic nucleotide-binding domain ・ Cyclic nucleotide-gated channel alpha 1 ・ Cyclic nucleotide-gated channel alpha 2 ・ Cyclic nucleotide-gated channel alpha 3 ・ Cyclic nucleotide-gated channel alpha 4 ・ Cyclic nucleotide-gated ion channel ・ Cyclic number ・ Cyclic number (group theory) ・ Cyclic olefin copolymer ・ Cyclic order ・ Cyclic ozone ・ Cyclic peptide ・ Cyclic permutation ・ Cyclic Poets ・ Cyclic polytope ・ Cyclic prefix ・ Cyclic pump ・ Cyclic pyranopterin monophosphate ・ Cyclic pyranopterin monophosphate synthase ・ Cyclic quadrilateral ・ Cyclic reduction ・ Cyclic redundancy check 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 Cyclic number (group theory) ： ウィキペディア英語版 Cyclic number (group theory) A cyclic number〔(Carmichael Multiples of Odd Cyclic Numbers )〕 is a natural number ''n'' such that ''n'' and φ(''n'') are coprime. Here φ is Euler's totient function. An equivalent definition is that a number ''n'' is cyclic iff any group of order ''n'' is cyclic.〔See T. Szele, ''Über die endlichen Ordnungszahlen zu denen nur eine Gruppe gehört'', Com- menj. Math. Helv., 20 (1947), 265–67.〕 Any prime number is clearly cyclic. All cyclic numbers are square-free.〔For if some prime square ''p''2 divides ''n'', then from the formula for φ it is clear that ''p'' is a common divisor of ''n'' and φ(''n'').〕 Let ''n'' = ''p''1 ''p''2 … ''p''''k'' where the ''p''''i'' are distinct primes, then φ(''n'') = (''p''1 − 1)(''p''2 − 1)...(''p''''k'' – 1). If no ''p''''i'' divides any (''p''''j'' – 1), then ''n'' and φ(''n'') have no common (prime) divisor, and ''n'' is cyclic. The first cyclic numbers are 1, 2, 3, 5, 7, 11, 13, 15, 17, 19, 23, 29, 31, 33, 35, 37, 41, 43, 47, 51, 53, 59, 61, 65, 67, 69, 71, 73, 77, 79, 83, 85, 87, 89, 91, 95, 97, 101, 103, 107, 109, 113, 115, 119, 123, 127, 131, 133, 137, 139, 141, 143, 145, 149, ... . ==References== 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「Cyclic number (group theory)」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.