Theorems · Theorem · group theory
MonoidHom.transfer_center_eq_pow
∀ {G : Type u_1} [inst : Group G] [inst_1 : (Subgroup.center G).FiniteIndex] (g : G),
(MonoidHom.id ↥(Subgroup.center G)).transfer g = ⟨g ^ (Subgroup.center G).index, ⋯⟩- Defined in
- Mathlib.GroupTheory.Transfer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupSubgroup.FiniteIndex
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- MonoidHom.idstatement and proof · cited by 323
- Subgroup.indexstatement · cited by 150
- Subgroup.centerstatement and proof · cited by 121
- Subgroup.FiniteIndexstatement and proof · cited by 113
- mul_inv_cancel_rightproof · cited by 53
- IsMulCentral.commproof · cited by 26
- mul_right_injproof · cited by 11
- MonoidHom.transferstatement · cited by 6
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