Theorems · Theorem · group theory

MonoidAlgebra.Submodule.exists_isCompl

∀ {k : Type u_1} [inst : Field k] {G : Type u_2} [Finite G] [NeZero ↑(Nat.card G)] [inst_3 : Group G] {V : Type u_3}
  [inst_4 : AddCommGroup V] [inst_5 : Module (MonoidAlgebra k G) V] (p : Submodule (MonoidAlgebra k G) V),
  ∃ q, IsCompl p q

Defined in

Mathlib.RepresentationTheory.Maschke

Cited by

0 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFiniteNeZeroGroupAddCommGroupModule