Theorems · Theorem · group theory
upperCentralSeries_isAscendingCentralSeries
Deprecated since 2026-03-25Use Subgroup.upperCentralSeries_isAscendingCentralSeries instead.
∀ (G : Type u_1) [inst : Group G], Subgroup.IsAscendingCentralSeries (Subgroup.upperCentralSeries G)
Alias of Subgroup.upperCentralSeries_isAscendingCentralSeries.
The upper central series of a group is an ascending central series.
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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- Groupstatement · cited by 6,238
- Subgroup.upperCentralSeriesstatement · cited by 51
- Subgroup.IsAscendingCentralSeriesstatement · cited by 14
- Subgroup.upperCentralSeries_isAscendingCentralSeriesproof · cited by 3
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