Theorems · Definition · group theory
Subgroup.Commensurable.commensurator
{G : Type u_1} → [inst : Group G] → Subgroup G → Subgroup GFor H a subgroup of G, this is the subgroup of all elements g : G
such that Commensurable (g H g⁻¹) H
- Defined in
- Mathlib.GroupTheory.Commensurable
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Subgroupstatement and proof · cited by 3,593
- Subgroup.comapproof · cited by 154
- MulEquiv.toMonoidHomproof · cited by 126
- ConjAct.toConjActproof · cited by 56
- Subgroup.Commensurable.commensurator'proof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- IsHeckeTriple.le_commensurator_rightstatement · cited by 4
- IsHeckeTriple.le_commensurator_leftstatement · cited by 2
- Subgroup.Commensurable.eqstatement and proof · cited by 1
- IsHeckeTriple.mem_commensurator_rightstatement · cited by 1
- IsHeckeTriple.casesOnstatement and proof · cited by 0
- IsHeckeTriple.mem_commensurator_leftstatement · cited by 0
- IsHeckeTriple.of_diagonalstatement and proof · cited by 0
- IsHeckeTriple.recOnstatement and proof · cited by 0
- Subgroup.Commensurable.commensurator_mem_iffstatement · cited by 0