FC-group
From HandWiki - Reading time: 1 min
Short description: Group in group theory mathematics
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
- Scott, W. R. (1987), "15.1 FC groups", Group Theory, Dover, pp. 441–446. Reprint of Prentice-Hall edition, 1964.
 |  |
Licensed under CC BY-SA 3.0 | Source: https://handwiki.org/wiki/FC-group4 views | Status: cached on September 11 2024 14:29:32↧ Download this article as ZWI file
EncycloReader
is supported by the 
KSF