Theorems · Definition · group theory
MulAut.conjNormal
{G : Type u_3} → [inst : Group G] → {H : Subgroup G} → [H.Normal] → G →* MulAut ↥HGroup conjugation on a normal subgroup. Analogous to MulAut.conj.
- Defined in
- Mathlib.GroupTheory.GroupAction.ConjAct
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupSubgroup.Normal
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- MonoidHom.compproof · cited by 469
- Subgroup.Normalstatement and proof · cited by 334
- MulAutstatement · cited by 158
- MulEquiv.toMonoidHomproof · cited by 126
- ConjActproof · cited by 79
- ConjAct.toConjActproof · cited by 56
- MulDistribMulAction.toMulAutproof · cited by 1
Cited by10
Results whose statement or proof uses this declaration.
- Sylow.normalizer_sup_eq_topproof · cited by 2
- MulAut.conjNormal_symm_applystatement · cited by 2
- GroupExtension.conjActproof · cited by 1
- MulAut.conjNormal_applystatement · cited by 1
- MulAut.conjNormal_valstatement · cited by 1
- MulAut.conjNormal.congr_simpstatement and proof · cited by 0
- alternatingGroup.kleinFour_eq_commutatorproof · cited by 0
- GroupExtension.inl_conjAct_commproof · cited by 0
- MulAut.conjNormal_inv_applystatement · cited by 0