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Theorems · Theorem · group theory

Sylow.pointwise_smul_def

∀ {p : ℕ} {G : Type u_1} [inst : Group G] {α : Type u_2} [inst_1 : Group α] [inst_2 : MulDistribMulAction α G] {g : α}
  {P : Sylow p G}, ↑(g • P) = g • ↑P
Defined in
Mathlib.GroupTheory.Sylow
Cited by
1 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroupMulDistribMulAction
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Around this declaration

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Sylow.normalizer_sup_eq_top · cited by 2Sylow.normalizer_sup_eq_t…Group · cited by 6238GroupSubgroup · cited by 3593SubgroupMulDistribMulAction · cited by 120MulDistribMulActionSylow · cited by 103SylowSylow.toSubgroup · cited by 86Sylow.toSubgroupSubgroup.pointwiseMulAction · cited by 66Subgroup.pointwiseMulActi…Sylow.pointwise_smul_defCITED BYCITES

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