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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.
- Scott, W. R. (1987), "15.1 FC groups", Group Theory, Dover, pp. 441–446. Reprint of Prentice-Hall edition, 1964.
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