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Theorems · Theorem · group theory

Subgroup.NormalizerCondition.normal_of_coatom

∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), NormalizerCondition G → IsCoatom H → H.Normal

In a group that satisfies the normalizer condition, every maximal subgroup is normal

Defined in
Mathlib.Algebra.Group.Subgroup.Order
Cited by
1 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group

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