zmultiplesHom_ker_eq

∀ {G : Type u_2} [inst : AddGroup G] (g : G), ((zmultiplesHom G) g).ker = AddSubgroup.zmultiples ↑(addOrderOf g)

The kernel of zmultiplesHom G g is equal to the additive subgroup generated by addOrderOf g.

Defined in: Mathlib.GroupTheory.SpecificGroups.Cyclic
Cited by: 2 results in Mathlib
Foundations: Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup

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