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In mathematics, more specifically in the field of group theory, a solvable group or soluble group is a group that can be constructed from abelian groups using extensions. Equivalently, a solvable group is a group whose derived series terminates in the trivial subgroup.
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group solvable groups displaystyle subgroup series finite abelian mathbb every order normal derived extensions example theorem cyclic product subgroups whose
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Solvable group | is a | group whose derived series terminates in the trivial subgroup | 0.90 | text |
| Solvable group | is a | group with a composition series all of whose factors are cyclic groups of prime order | 0.90 | text |
| Solvable group | is a | hypoabelian group | 0.90 | text |
| Solvable group | related to Abelian groups | The | 0.60 | section |
| Solvable group | related to Abelian groups | They | 0.60 | section |
| Solvable group | related to Abelian groups | But | 0.60 | section |
| Solvable group | related to Example | The | 0.60 | section |
| Solvable group | related to Example | Galois | 0.60 | section |
| Solvable group | related to External links | OEISsequenceA056866 | 0.60 | section |
| Solvable group | related to External links | Orders | 0.60 | section |
| Solvable group | related to External links | Solvable | 0.60 | section |
| Solvable group | related to Group extensions | Group | 0.60 | section |
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