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Theorems · Theorem · group theory

AddSubgroup.lowerCentralSeries_sum

∀ {G₁ : Type u_2} {G₂ : Type u_3} [inst : AddGroup G₁] [inst_1 : AddGroup G₂] (S₁ : AddSubgroup G₁)
  (S₂ : AddSubgroup G₂) (n : ℕ),
  (S₁.prod S₂).lowerCentralSeries n = (S₁.lowerCentralSeries n).prod (S₂.lowerCentralSeries n)
Defined in
Mathlib.GroupTheory.Nilpotent
Cited by
1 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddGroup
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Around this declaration

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AddSubgroup.top_lowerCentralSeries_sum · cited by 1AddSubgroup.top_lowerCent…AddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupBracket.bracket · cited by 642Bracket.bracketAddSubgroup.lowerCentralSeries · cited by 37AddSubgroup.lowerCentralS…AddSubgroup.prod · cited by 34AddSubgroup.prodAddSubgroup.addCommutator_sum_sum · cited by 1AddSubgroup.addCommutator…AddSubgroup.lowerCentralSerie…CITED BYCITES

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