Commutators and commutator subgroups in profinite groups
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- 作者：Cristina Acciarri ; acciarricristina@yahoo.it ; Pavel Shumyatsky pavel@unb.br
- 关键词：20E18 ; 20F14
- 刊名：Journal of Algebra
- 出版年：2017
- 出版时间：1 March 2017
- 年：2017
- 卷：473
- 期：Complete
- 页码：166-182
- 全文大小：410 K
- 卷排序：473
文摘
Let G be a profinite group. We prove that the commutator subgroup G′G′ is finite-by-procyclic if and only if the set of all commutators of G is contained in a union of countably many procyclic subgroups.