Theorems · Theorem · group theory
ConjAct.stabilizer_eq_centralizer
∀ {G : Type u_3} [inst : Group G] (g : G),
MulAction.stabilizer (ConjAct G) g = Subgroup.centralizer {ConjAct.toConjAct g}- Defined in
- Mathlib.GroupTheory.GroupAction.ConjAct
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- le_antisymmproof · cited by 2,068
- MulEquivstatement · cited by 1,142
- MulAction.stabilizerstatement and proof · cited by 254
- ConjActstatement and proof · cited by 79
- Subgroup.centralizerstatement and proof · cited by 65
- ConjAct.toConjActstatement and proof · cited by 56
- eq_mul_inv_iff_mul_eqproof · cited by 11
- mul_inv_eq_of_eq_mulproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.quotientCentralizerEmbeddingproof · cited by 1