KnowraMaschke's theoremLinked fromLinked fromThe 6 pages that link to Maschke's theorem, each with the reason it gives.All 6Related 5Compared with 1Representation theoryRelated: It guarantees decomposition into irreducibles under a key hypothesis.Irreducible representationRelated: It ensures such representations decompose into irreducible summands.Character theoryRelated: Complete reducibility makes irreducible characters sufficient to describe representations.Schur's lemmaRelated: Complete reducibility lets Schur's lemma analyze maps piece by piece.Engel's theoremCompared with: Complete reducibility contrasts with Engel's invariant-flag conclusion, which need not split into invariant complements.Wedderburn–Artin theoremRelated: It supplies semisimplicity for group algebras to which the structure theorem applies.