Theorems · Definition · number theory
Subgroup.periods
{R : Type u_1} → [inst : Ring R] → Subgroup (GL (Fin 2) R) → AddSubgroup RFor a subgroup 𝒢 of GL(2, R), this is the additive group of x : R such that
±[1, x; 0, 1] ∈ 𝒢.
- Defined in
- Mathlib.NumberTheory.ModularForms.Cusps
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- AddSubgroupstatement · cited by 3,232
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Subgroup.strictPeriodsproof · cited by 63
- Subgroup.adjoinNegOneproof · cited by 14
Cited by11
Results whose statement or proof uses this declaration.
- Subgroup.strictPeriods_le_periodsstatement · cited by 3
- Subgroup.IsRegularAtInftyproof · cited by 3
- Subgroup.widthInfty_mem_periodsstatement · cited by 2
- Subgroup.relIndex_strictPeriodsstatement and proof · cited by 1
- Subgroup.periods_eq_zmultiples_widthInftystatement and proof · cited by 1
- Subgroup.strictPeriods_eq_periods_of_neg_one_memstatement · cited by 1
- Subgroup.widthInfty_pos_iffstatement and proof · cited by 0
- Subgroup.isRegularAtInfty_iffstatement and proof · cited by 0
- Subgroup.commensurable_strictPeriods_periodsstatement and proof · cited by 0
- Subgroup.two_mul_widthInfty_mem_strictPeriodsproof · cited by 0
- Subgroup.IsRegularAtInfty.eqstatement · cited by 0