Jordan–Hölder theorem

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo modules
finite groups
gptkbp:category theorems in group theory
gptkbp:concerns finite groups
composition series
gptkbp:field group theory
gptkbp:generalizes gptkb:Krull–Schmidt_theorem
https://www.w3.org/2000/01/rdf-schema#label Jordan–Hölder theorem
gptkbp:namedAfter gptkb:Camille_Jordan
gptkb:Otto_Hölder
gptkbp:publishedIn gptkb:Mathematische_Annalen
gptkbp:relatedTo simple group
composition factor
gptkbp:state Any two composition series of a finite group have isomorphic factor groups, up to order.
gptkbp:yearProposed 1870s
gptkbp:bfsParent gptkb:group_of_people
gptkbp:bfsLayer 4