Theorems · Definition · group theory
MulDistribMulAction.toMonoidHomZModOfIsCyclic
(G : Type u_2) →
[inst : Group G] →
(M : Type u_4) →
[inst_1 : Monoid M] → [IsCyclic G] → [MulDistribMulAction M G] → {n : ℕ} → Nat.card G = n → M →* ZMod nA distributive action of a monoid on a finite cyclic group of order n factors through an
action on ZMod n.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by2
Results whose statement or proof uses this declaration.
- MulDistribMulAction.toMonoidHomZModOfIsCyclic_applystatement and proof · cited by 1
- IsPGroup.smul_mul_inv_trivial_or_surjectiveproof · cited by 1