Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Modules
Finite groups |
| gptkbp:definedIn |
A finite series of subgroups of a group
|
| gptkbp:field |
gptkb:Group_theory
gptkb:Abstract_algebra |
| gptkbp:hasInvariant |
Isomorphism of groups
|
| https://www.w3.org/2000/01/rdf-schema#label |
Composition series
|
| gptkbp:introduced |
gptkb:Jordan–Hölder_theorem
|
| gptkbp:property |
Each factor group is simple
Each subgroup is normal in the previous one |
| gptkbp:relatedTo |
gptkb:Jordan–Hölder_theorem
Normal series Simple group Subnormal series |
| gptkbp:used_in |
Classification of finite groups
|
| gptkbp:bfsParent |
gptkb:group_of_people
|
| gptkbp:bfsLayer |
4
|