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- Maschke's_theorem abstract "In mathematics, Maschke's theorem, named after Heinrich Maschke, is a theorem in group representation theory that concerns the decomposition of representations of a finite group into irreducible pieces. If (V, ρ) is a finite-dimensional representation of a finite group G over a field of characteristic zero, and U is an invariant subspace of V, then the theorem claims that U admits an invariant direct complement W; in other words, the representation (V, ρ) is completely reducible. More generally, the theorem holds for fields of positive characteristic p, such as the finite fields, if the prime p doesn't divide the order of G.".
- Maschke's_theorem wikiPageID "30876007".
- Maschke's_theorem wikiPageRevisionID "590172149".
- Maschke's_theorem hasPhotoCollection Maschke's_theorem.
- Maschke's_theorem subject Category:Representation_theory_of_finite_groups.
- Maschke's_theorem subject Category:Theorems_in_group_theory.
- Maschke's_theorem subject Category:Theorems_in_representation_theory.
- Maschke's_theorem type Abstraction100002137.
- Maschke's_theorem type Communication100033020.
- Maschke's_theorem type Message106598915.
- Maschke's_theorem type Proposition106750804.
- Maschke's_theorem type Statement106722453.
- Maschke's_theorem type Theorem106752293.
- Maschke's_theorem type TheoremsInGroupTheory.
- Maschke's_theorem type TheoremsInRepresentationTheory.
- Maschke's_theorem comment "In mathematics, Maschke's theorem, named after Heinrich Maschke, is a theorem in group representation theory that concerns the decomposition of representations of a finite group into irreducible pieces. If (V, ρ) is a finite-dimensional representation of a finite group G over a field of characteristic zero, and U is an invariant subspace of V, then the theorem claims that U admits an invariant direct complement W; in other words, the representation (V, ρ) is completely reducible.".
- Maschke's_theorem label "Maschke's theorem".
- Maschke's_theorem label "Satz von Maschke".
- Maschke's_theorem label "Teorema de Maschke".
- Maschke's_theorem label "Théorème de Maschke".
- Maschke's_theorem label "Теорема Машке".
- Maschke's_theorem label "マシュケの定理".
- Maschke's_theorem label "马施克定理".
- Maschke's_theorem sameAs Satz_von_Maschke.
- Maschke's_theorem sameAs Teorema_de_Maschke.
- Maschke's_theorem sameAs Théorème_de_Maschke.
- Maschke's_theorem sameAs マシュケの定理.
- Maschke's_theorem sameAs m.02ryvg.
- Maschke's_theorem sameAs Q656198.
- Maschke's_theorem sameAs Q656198.
- Maschke's_theorem sameAs Maschke's_theorem.
- Maschke's_theorem wasDerivedFrom Maschke's_theorem?oldid=590172149.
- Maschke's_theorem isPrimaryTopicOf Maschke's_theorem.