Theorems · Definition · group theory
Sylow.equivSMul
{p : ℕ} → {G : Type u_1} → [inst : Group G] → (P : Sylow p G) → (g : G) → ↥↑P ≃* ↥↑(g • P)Sylow subgroups are isomorphic
- Defined in
- Mathlib.GroupTheory.Sylow
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- MulEquivstatement · cited by 1,142
- Sylowstatement and proof · cited by 103
- Sylow.toSubgroupstatement and proof · cited by 86
- MulAut.conjproof · cited by 64
- Subgroup.equivSMulproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Sylow.equivproof · cited by 0