FC group

Updated on Jan 01, 2024

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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.

Every abelian group is an FC-group.

The following property is stronger than the property of being FC: every subgroup has finite index in its normal closure.

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