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perfect group (Definition)

A group $ G$ is called perfect if $ G=[G,G]$, where $ [G,G]$ is the derived subgroup of $ G$, or equivalently, if the abelianization of $ G$ is trivial.



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Other names:  perfect
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Cross-references: abelianization, derived subgroup, group
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This is version 1 of perfect group, born on 2003-09-05.
Object id is 4701, canonical name is PerfectGroup.
Accessed 3903 times total.

Classification:
AMS MSC: 20F99 (Group theory and generalizations :: Special aspects of infinite or finite groups :: Miscellaneous)
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