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.[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
[edit | edit source]- ^ Scott (1987), 15.1.1, p. 441.
- ^ Scott (1987), 15.1.2, p. 441.
References
[edit | edit source]- Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).. Reprint of Prentice-Hall edition, 1964.
