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Theorems · Definition · group theory

Subgroup.centerUnitsEquivUnitsCenter

(G₀ : Type u_1) → [inst : GroupWithZero G₀] → ↥(Subgroup.center G₀ˣ) ≃* (↥(Submonoid.center G₀))ˣ

For a group with zero, the center of the units is the same as the units of the center.

Defined in
Mathlib.Algebra.GroupWithZero.Action.Center
Cited by
2 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupWithZero

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