翻訳と辞書 Words near each other ・ Parafontaria ・ Parafora ・ Parafora (song) ・ Paraforcellinia ・ Paraformaldehyde ・ Paraformer ・ Parafossarulus ・ Parafossarulus crassitesta ・ Parafossarulus manchouricus ・ Parafossarulus priscillae ・ Parafossarulus spiridonovi ・ Parafossarulus striatulus ・ Parafossarulus sungariensis ・ Parafovea ・ Parafrasura ・ Parafree group ・ Parafreoides ghanaensis ・ Parafreutreta ・ Parafunctional activity ・ Parafusulina ・ Parag ・ Parag (magazine) ・ Parag Desai ・ Parag Khanna ・ Parag Kumar Das ・ Parag Madkaikar ・ Parag More ・ Parag Patel ・ Parag Pathak ・ Parag Sanghvi 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 Parafree group ： ウィキペディア英語版 Parafree group In mathematics, in the realm of group theory, a group is said to be parafree if its quotients by the terms of its lower central series are the same as those of a free group and if it is residually nilpotent (the intersection of the terms of its lower central series is trivial). Parafree groups share many properties with free groups, making it difficult to distinguish between these two types. Gilbert Baumslag was led to the study of parafree groups in attempts to resolve the conjecture that a group of cohomological dimension one is free. One of his fundamental results is that there exist parafree groups that are not free. With Urs Stammbach, he proved there exists a non-free parafree group with every countable subgroup being free. ==References== *Baumslag, Gilbert, ''Groups with the same lower central sequence as a relatively free group. I. The groups.'' Trans. Amer. Math. Soc. 129 1967 308--321. *Baumslag, Gilbert; Stammbach, Urs, ''A non-free parafree group all of whose countable subgroups are free.'' Math. Z. 148 (1976), no. 1, 63--65.() 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「Parafree 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.