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In mathematics, more specifically in group theory, a group is said to be perfect if it equals its own commutator subgroup, or equivalently, if the group has no non-trivial abelian quotients.
Products, Examples & Grün's lemma
Explore the main themes, entities and connections around Perfect group. Start with the topic map, then use the sections below for research and deeper semantic analysis.
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group perfect commutator subgroup non-trivial simple displaystyle groups center homology one non-abelian quotient lemma elements central extension finite trivial mathbb
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Perfect group | is a | alternating group A5 | 0.90 | text |
| Perfect group | related to Examples | The | 0.60 | section |
| Perfect group | related to Examples | A5 | 0.60 | section |
| Perfect group | related to Examples | More | 0.60 | section |
| Perfect group | related to Examples | However | 0.60 | section |
| Perfect group | related to Examples | SL | 0.60 | section |
| Perfect group | related to Examples | Since | 0.60 | section |
| Perfect group | related to External links | Weisstein | 0.60 | section |
| Perfect group | related to External links | Eric | 0.60 | section |
| Perfect group | related to External links | MathWorld | 0.60 | section |
| Perfect group | related to External links | Grün's | 0.60 | section |
| Perfect group | related to Group homology | In | 0.60 | section |
These clusters group vocabulary that occurs around closely connected concepts in the source material.
Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.