Theorems · Theorem · group theory
upperCentralSeries_nilpotencyClass
Deprecated since 2026-03-25Use Subgroup.upperCentralSeries_nilpotencyClass instead.
∀ {G : Type u_1} [inst : Group G] [hG : Group.IsNilpotent G],
Subgroup.upperCentralSeries G (Group.nilpotencyClass G) = ⊤Alias of Subgroup.upperCentralSeries_nilpotencyClass.
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupGroup.IsNilpotent
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Groupstatement · cited by 6,238
- Subgroupstatement · cited by 3,593
- Group.IsNilpotentstatement · cited by 80
- Subgroup.upperCentralSeriesstatement · cited by 51
- Group.nilpotencyClassstatement · cited by 47
- Subgroup.upperCentralSeries_nilpotencyClassproof · cited by 3
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