Structures · Algebra
Subgroup.FiniteIndex
Typeclass for finite index subgroups.
- Defined in
- Mathlib.GroupTheory.Index
- Shape
- One type argument · adds index_ne_zero
Extends0
Extends nothing: this is a root of the hierarchy.
Extended by0
Nothing extends this class yet.
Concrete types that are instances3
- Matrix.SpecialLinearGroup
- Subtype
- Prod
How is a type an instance?
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Assumed by93
- Rep.indCoindIso
- Subgroup.FiniteIndex.index_ne_zero
- MonoidHom.transferSylow
- Subgroup.fintypeQuotientOfFiniteIndex
- Sylow.not_dvd_index
- Subgroup.leftTransversals.diff
- MonoidHom.transfer
- Rep.coindToInd
- Rep.indCoindNatIso
- Subgroup.transferFocal
- Rep.coindResAdjunction
- Rep.resIndAdjunction
- Subgroup.leftTransversals.diff_mul_diff
- MonoidHom.transferCenterPow
- Subgroup.QuotientDiff
- Subgroup.finiteIndex_of_le
- MonoidHom.ker_transferSylow_isComplement'
- Subgroup.smul_diff'
- MonoidHom.transferSylow_domRestrict_eq_pow
- MonoidHom.transfer_eq_prod_quotient_orbitRel_zpowers_quot
- Subgroup.index_antitone
- FiniteIndexNormalSubgroup.ofSubgroup
- Subgroup.leftTransversals.diff_inv
- Subgroup.leftTransversals.diff_self
- Subgroup.isOpen_of_isClosed_of_finiteIndex
- Subgroup.transferFocal_eq_pow
- Rep.coindToInd_apply
- MonoidHom.transfer_eq_pow
- MonoidHom.transferSylow_eq_pow
- Subgroup.ker_restrict_transferFocal_eq_focalSubgroupOf
- Subgroup.index_range
- Subgroup.exists_smul_eq
- Rep.indCoindIso_hom_hom_toLinearMap
- Sylow.finite_of_finiteIndex
- Subgroup.focalSubgroupOf.pow_index_surjective
- Rep.coindToInd_of_support_subset_orbit
- Subgroup.ker_transferFocal_inf_eq_focalSubgroup
- Rep.coindToInd_indToCoind
- Subgroup.IsComplement.finite_left
- MonoidHom.transfer_def
- IsPGroup.index
- Subgroup.exists_leftTransversal_of_FiniteIndex
- ModularGroup.exists_bound_of_subgroup_invariant_of_isBigO
- Subgroup.leftTransversals.smul_diff_smul
- Subgroup.IsComplement.encard_left
- Subgroup.exists_finset_card_le_mul
- Subgroup.discreteTopology_iff_of_finiteIndex
- Subgroup.IsComplement.finite_right
- Subgroup.eq_one_of_smul_eq_one
- Rep.indToCoind_coindToInd
Ancestors0
No ancestors.