Theorems · Definition · group theory
Subgroup.transferSet
{G : Type u_1} → [inst : Group G] → Subgroup G → G → Set GThe transfer transversal as a set. Contains elements of the form g ^ k • g₀ for fixed choices
of representatives g₀ of fixed choices of representatives q₀ of ⟨g⟩-orbits in G ⧸ H.
- Defined in
- Mathlib.GroupTheory.Transfer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Set.rangeproof · cited by 4,705
- Subgroupstatement and proof · cited by 3,593
- Subgroup.transferFunctionproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.transferTransversalproof · cited by 4
- Subgroup.mem_transferSetstatement · cited by 0