Theorems · Definition · group theory
AddAut.addConj
{G : Type u_3} → [inst : AddGroup G] → G →+ AddAut GGroup conjugation, AddAut.addConj g h = g + h + -g, as an additive homomorphism
mapping addition in G into addition in the additive automorphism group AddAut G.
- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddMonoidHomstatement · cited by 3,230
- AddAutstatement · cited by 75
Cited by37
Results whose statement or proof uses this declaration.
- AddAction.stabilizerEquivStabilizerproof · cited by 16
- AddSubgroup.mem_normalizer_iff_map_addConj_eqstatement · cited by 6
- SubAddAction.fixingAddSubgroupEquivFixingAddSubgroupproof · cited by 4
- AddSubgroup.le_normalizer_mapproof · cited by 4
- AddAction.IsBlock.translateproof · cited by 4
- AddSubgroup.mem_normalizer_iff_addConj_image_eqstatement and proof · cited by 3
- AddSubgroup.normal_iff_map_addConj_eqstatement and proof · cited by 2
- AddAction.stabilizerEquivStabilizer_applystatement · cited by 2
- AddAut.addConj_applystatement · cited by 2
- AddAut.addConj_symm_applystatement · cited by 2
- AddSubgroup.normalizer_inf_normalizer_le_normalizer_supproof · cited by 2
- AddSubgroup.normalCore_eq_iInf_comap_addConjstatement and proof · cited by 1