Theorems · Definition · number theory
Subgroup.strictPeriods
{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
- 63 results in Mathlib
- Foundations
- Depth 85 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- 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
- AddSubgroup.comapproof · cited by 123
- Subgroup.toAddSubgroupproof · cited by 20
- Matrix.GeneralLinearGroup.upperRightHomproof · cited by 14
- AddChar.toAddMonoidHomproof · cited by 5
Cited by68
Results whose statement or proof uses this declaration.
- Subgroup.strictWidthInftyproof · cited by 19
- ModularFormClass.analyticAt_cuspFunction_zerostatement and proof · cited by 14
- SlashInvariantFormClass.periodic_comp_ofComplexstatement and proof · cited by 11
- Subgroup.periodsproof · cited by 10
- one_mem_strictPeriods_SLstatement · cited by 8
- Subgroup.isCusp_of_mem_strictPeriodsstatement and proof · cited by 6
- Subgroup.strictWidthInfty_mem_strictPeriodsstatement and proof · cited by 5
- Subgroup.strictWidthInfty_pos_iffstatement and proof · cited by 5
- Subgroup.strictPeriods_eq_zmultiples_one_of_T_memstatement · cited by 4
- Subgroup.strictPeriods_eq_zmultiples_strictWidthInftystatement and proof · cited by 4
- ModularForm.qExpansion_mulstatement and proof · cited by 4
- ModularForm.qExpansion_smulstatement and proof · cited by 4