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FC-group In mathematics, in the field of group theory, an FC-group is a group in which every conjugacy class of elements has finite cardinality. The following are some facts about FC-groups: * Every finite group is an FC-group.〔, 15.1.1, p. 441.〕 * Every abelian group is an FC-group.〔, 15.1.2, p. 441.〕 * The following property is stronger than the property of being FC: every subgroup has finite index in its normal closure. ==Notes==
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「FC-group」の詳細全文を読む
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