FC-group
Template:Short description 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.[1]
- Every abelian group is an FC-group.[2]
- The following property is stronger than the property of being FC: every subgroup has finite index in its normal closure.
Notes
References
- Script error: No such module "citation/CS1".. Reprint of Prentice-Hall edition, 1964.
- ↑ Template:Harvtxt, 15.1.1, p. 441.
- ↑ Template:Harvtxt, 15.1.2, p. 441.