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Theorems · Theorem · group theory

Subgroup.nilpotencyClass_le_of_upperCentralSeries_eq

∀ {G : Type u_1} [inst : Group G] {a b : ℕ},
  a < b → Subgroup.upperCentralSeries G a = Subgroup.upperCentralSeries G b → Group.nilpotencyClass G ≤ a
Defined in
Mathlib.GroupTheory.Nilpotent
Cited by
1 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

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nilpotencyClass_le_of_upperCentralSeries_eq · cited by 0nilpotencyClass_le_of_upp…Group · cited by 6238GroupSubgroup · cited by 3593SubgroupGroup.IsNilpotent · cited by 80Group.IsNilpotentSubgroup.upperCentralSeries · cited by 51Subgroup.upperCentralSeri…Group.nilpotencyClass · cited by 47Group.nilpotencyClassGroup.nilpotencyClass_of_not_nilpotent · cited by 3Group.nilpotencyClass_of_…Subgroup.nilpotencyClass_le_o…CITED BYCITES

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