翻訳と辞書 Words near each other ・ Localizer ・ Localizer performance with vertical guidance ・ Localizer type directional aid ・ Localizing subcategory ・ LocalLabs ・ Locallife ・ Locally acyclic morphism ・ Locally catenative sequence ・ Locally compact field ・ Locally compact group ・ Locally compact quantum group ・ Locally compact space ・ Locally connected space ・ Locally constant function ・ Locally convex topological vector space ・ Locally cyclic group ・ Locally decodable code ・ Locally discrete collection ・ Locally finite ・ Locally finite collection ・ Locally finite group ・ Locally finite measure ・ Locally finite operator ・ Locally finite poset ・ Locally finite space ・ Locally finite variety ・ Locally Hausdorff space ・ Locally integrable function ・ Locally listed buildings in Crawley ・ Locally nilpotent 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 Locally cyclic group ： ウィキペディア英語版 Locally cyclic group In group theory, a locally cyclic group is a group (''G'', *) in which every finitely generated subgroup is cyclic. ==Some facts== *Every cyclic group is locally cyclic, and every locally cyclic group is abelian. *Every finitely-generated locally cyclic group is cyclic. *Every subgroup and quotient group of a locally cyclic group is locally cyclic. *Every Homomorphic image of a locally cyclic group is locally cyclic. *A group is locally cyclic if and only if every pair of elements in the group generates a cyclic group. *A group is locally cyclic if and only if its lattice of subgroups is distributive . *The torsion-free rank of a locally cyclic group is 0 or 1. *The endomorphism ring of a locally cyclic group is commutative. 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「Locally cyclic 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.