FC-group
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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.
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.
Notes
References
. Reprint of Prentice-Hall edition, 1964.
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