Subindex: <B><B>class</B> .. Classical</B>

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Subindex: class .. Classical

class

   Class Field Theory (ALGEBRAIC FUNCTION FIELDS)
   Class Group (BINARY QUADRATIC FORMS)
   Class Information from a Conjugacy Class Poset (GROUPS)
   Functions related to Divisor Class Groups of Global Function Fields (ALGEBRAIC FUNCTION FIELDS)
   Ideal Class Group (QUADRATIC FIELDS)
   Ideal Class Groups (ORDERS AND ALGEBRAIC FIELDS)
   Identifier Classes (MAGMA SEMANTICS)
   Linear Equivalence and Class Group (PLANE ALGEBRAIC CURVES)
   Ray Class Groups (CLASS FIELD THEORY)
   Residue Class Rings (RING OF INTEGERS)
   Structure Creation (CHARACTERS OF FINITE GROUPS)

class-field

FldAb_class-field (Example H54E5)

class-fields

Class Field Theory (ALGEBRAIC FUNCTION FIELDS)

class-group

   Class Group (BINARY QUADRATIC FORMS)
   Ideal Class Group (QUADRATIC FIELDS)
   Linear Equivalence and Class Group (PLANE ALGEBRAIC CURVES)
   FldFunG_class-group (Example H57E16)

class-information

Class Information from a Conjugacy Class Poset (GROUPS)

class_map

GrpPC_class_map (Example H19E12)

ClassAction

ClassAction(A) : GrpAuto -> Map, GrpPerm, SetIndx
PermutationRepresentation(A) : GrpAuto -> Map, GrpPerm, SetIndx

Classes

   AllParallelClasses(D) : Inc -> SeqEnum
   AutomorphousClasses(L,p) : Lat, RngIntElt -> RngIntElt
   Classes(D) : DB -> SeqEnum
   ConjugacyClasses(G) : GrpAb -> [ <RngIntElt, RngIntElt, GrpAbElt> ]
   ConjugacyClasses(G) : GrpPC -> [ <RngIntElt, RngIntElt, GrpPCElt> ]
   ConjugacyClasses(G: parameters) : GrpFin -> [ <RngIntElt, RngIntElt, GrpFinElt> ]
   ConjugacyClasses(G: parameters) : GrpMat -> [ < RngIntElt, RngIntElt, GrpMatElt > ]
   ConjugacyClasses(G: parameters) : GrpPerm -> [ <RngIntElt, RngIntElt, GrpPermElt> ]
   ExtensionClasses(D, Q) : DB, MonStgElt -> SetEnum
   LeftIdealClasses(S) : AlgQuatOrd -> [AlgQuatOrd]
   NumberOfClasses(D) : DB -> RngIntElt
   NumberOfClasses(G) : GrpAb -> RngIntElt
   NumberOfClasses(G) : GrpFin -> RngIntElt
   NumberOfClasses(G) : GrpMat -> RngIntElt
   NumberOfClasses(G) : GrpPC -> RngIntElt
   NumberOfClasses(G) : GrpPerm -> RngIntElt
   NumberOfIsogenyClasses(D, N) : DB, RngIntElt -> RngIntElt
   NumberOfNewformClasses(M : parameters) : ModFrm -> RngIntElt
   ParallelClasses(P) : PlaneAff -> { { PlaneLn } }
   RightIdealClasses(S) : AlgQuatOrd -> [AlgQuatOrd]
   SubgroupClasses(G) : GrpPC -> SeqEnum
   SubgroupClasses(G: parameters) : GrpFin -> [ rec< Grp, RngIntElt, RngIntElt, GrpFP> ]
   SubgroupClasses(G: parameters) : GrpPerm -> [ rec< GrpPerm, RngIntElt, RngIntElt, GrpFP> ]
   TwoSidedIdealClasses(S) : AlgQuatOrd -> [AlgQuatOrd]
   GrpPerm_Classes (Example H17E11)
   Grp_Classes (Example H16E14)

classes

   Conjugacy Classes of Subgroups (FINITE SOLUBLE GROUPS)
   Conjugacy Classes of Subgroups (GROUPS)
   Enumeration of Ideal Classes (QUATERNION ALGEBRAS)

classfield-structures

FldFunG_classfield-structures (Example H57E34)

classfields

FldFunG_classfields (Example H57E35)

ClassFunctionSpace

CharacterRing(G) : Grp -> AlgChtr
ClassFunctionSpace(G) : Grp -> AlgChtr

ClassGroup

   ClassGroup(C) : Crv -> GrpAb, Map, Map
   ClassGroup(K) : FldQuad -> GrpAb, Map
   ClassGroup(Q) : FldRat -> GrpAb, Map
   ClassGroup(F : parameters) : FldFun -> GrpAb, Map, Map
   ClassGroup(F : parameters) : FldFun -> GrpAb, Map, Map
   ClassGroup(Q: parameters) : QuadBin -> GrpAb, Map
   ClassGroup(O: parameters) : RngOrd -> GrpAb, Map
   ClassGroup(O) : RngFunOrd -> GrpAb, Map, Map
   ClassGroup(Z) : RngInt -> GrpAb, Map
   RngOrd_ClassGroup (Example H50E18)

ClassGroupAbelianInvariants

   ClassGroupAbelianInvariants(F : parameters) : FldFun -> SeqEnum
   ClassGroupAbelianInvariants(F : parameters) : FldFun -> SeqEnum
   ClassGroupAbelianInvariants(O) : RngFunOrd -> SeqEnum

ClassGroupCyclicFactorGenerators

ClassGroupCyclicFactorGenerators(O) : RngOrd -> ModHomElt

ClassGroupExactSequence

ClassGroupExactSequence(F) : FldFun -> Map, Map, Map
ClassGroupExactSequence(O) : RngFunOrd -> Map, Map, Map

ClassGroupGenerationBound

ClassGroupGenerationBound(F) : FldFun -> RngIntElt
ClassGroupGenerationBound(q, g) : RngIntElt, RngIntElt -> RngIntElt

ClassGroupPRank

ClassGroupPRank(F) : FldFunG -> RngIntElt
ClassGroupPRank(F) : FldFunG -> RngIntElt

ClassGroupStructure

ClassGroupStructure(Q: parameters) : QuadBin -> [ RngIntElt ]

Classical

   ClassicalForms(G): GrpMat -> BoolElt
   ClassicalModularPolynomial(N) : RngIntElt -> RngMPolElt
   ClassicalPeriod(M, j, prec) : ModSym, RngIntElt, RngIntElt -> FldPrElt
   ClassicalType(G) : GrpMat -> MonStgElt
   RecognizeClassical( G : parameters): GrpMat -> BoolElt

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