Mathlib Map

Theorems · Definition · group theory

fixedPointsSubAddOfNormal

{G : Type u_1} →
  [inst : AddGroup G] →
    {α : Type u_2} → [inst_1 : AddAction G α] → {H : AddSubgroup G} → [hH : H.Normal] → SubAddAction G α

The set of fixed points of a normal subgroup is stable under the group action.

Defined in
Mathlib.GroupTheory.GroupAction.SubMulAction
Cited by
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Foundations
Depth 24 from the axioms · uses propext
Assumes
AddGroupAddActionAddSubgroup.Normal

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