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Theorems · Definition · group theory

AddAction.stabilizerAddSubmonoid

(M : Type u_1) → {α : Type u_3} → [inst : AddMonoid M] → [AddAction M α] → α → AddSubmonoid M

The stabilizer of a point a as an additive submonoid of M.

Defined in
Mathlib.GroupTheory.GroupAction.Defs
Cited by
2 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
AddMonoidAddAction
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddAction.stabilizer · cited by 112AddAction.stabilizerSubAddAction.stabilizer_of_subMul.addSubmonoid · cited by 1stabilizer_of_subMul.addS…AddAction.mem_stabilizerAddSubmonoid_iff · cited by 1AddAction.mem_stabilizerA…Set.ofPred · cited by 6101Set.ofPredAddMonoid · cited by 2864AddMonoidHVAdd.hVAdd · cited by 1820HVAdd.hVAddAddSubmonoid · cited by 1178AddSubmonoidAddAction · cited by 820AddActionzero_vadd · cited by 95zero_vaddAddAction.stabilizerAddSubmon…CITED BYCITES

Cites6

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Cited by3

Results whose statement or proof uses this declaration.