Theorems · Definition · group theory
upperCentralSeriesAux
Deprecated since 2026-03-25Use Subgroup.upperCentralSeriesAux instead.
(G : Type u_1) → [inst : Group G] → ℕ → (H : Subgroup G) ×' H.Characteristic
Alias of Subgroup.upperCentralSeriesAux.
An auxiliary type-theoretic definition defining both the upper central series of
a group, and a proof that it is characteristic, all in one go.
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 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.
Cites4
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.Characteristicstatement · cited by 20
- Subgroup.upperCentralSeriesAuxproof · cited by 4
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