Lesson plan
FC-group
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.
Article summary
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.
Key claims
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.