Theorems · Theorem · group theory
upperCentralSeries_one
Deprecated since 2026-03-25Use Subgroup.upperCentralSeries_one instead.
∀ (G : Type u_1) [inst : Group G], Subgroup.upperCentralSeries G 1 = Subgroup.center G
Alias of Subgroup.upperCentralSeries_one.
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 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.
- Groupstatement · cited by 6,238
- Subgroupstatement · cited by 3,593
- Subgroup.centerstatement · cited by 121
- Subgroup.upperCentralSeriesstatement · cited by 51
- Subgroup.upperCentralSeries_oneproof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.