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
References . Reprint of Prentice-Hall edition, 1964.