Theorem
Maschke's Theorem
Let $G$ be a finite group and $k$ a field with $\mathrm{char}(k) \nmid |G|$.
Then every representation (Group Representation) of $G$ over $k$ is
completely reducible, i.e.\ decomposes into irreducibles (Irreducible Representation).
Depends on
Dependency Graph
flowchart LR
classDef current fill:#6366f1,color:#fff,stroke:#4f46e5
nca6bd350["Representation"]
nc8a0881e["Irreducible Representation"]
nf1efa483["Maschke's Theorem"]:::current
nca6bd350 --> nf1efa483
nc8a0881e --> nf1efa483
click nca6bd350 "../objects/ca6bd350.html" "_self"
click nc8a0881e "../objects/c8a0881e.html" "_self"