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Centrally closed subgroup : ウィキペディア英語版 | Centrally closed subgroup
In mathematics, in the realm of group theory, a subgroup of a group is said to be centrally closed if the centralizer of any nonidentity element of the subgroup lies inside the subgroup. Some facts about centrally closed subgroups: * Every malnormal subgroup is centrally closed. * Every Frobenius kernel is centrally closed. * SA subgroups are precisely the centrally closed Abelian subgroups. * The trivial subgroup and the whole group are centrally closed.
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「Centrally closed subgroup」の詳細全文を読む
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