Commit 2025-12-29 09:01 f65bc60c
View on Github →feat(GroupTheory): add Subgroup.le_zpowers_iff (#33125)
Adds an instance:
instance Subgroup.isCyclic_zpowers [Group G] (g : G) : IsCyclic (Subgroup.zpowers g)
and a lemma characterizing the subgroups of a cyclic subgroup:
theorem Subgroup.le_zpowers_iff (g : G) (H : Subgroup G) :
H ≤ Subgroup.zpowers g ↔ ∃ n : ℕ, H = Subgroup.zpowers (g ^ n)