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Subindex: SplitAbelianSection  ..  Square


SplitAbelianSection

   SplitAbelianSection(SQP: parameter) : SQProc -> BoolElt, SQProc

SplitCollector

   SplitCollector(SQP, p) : SQProc, RngIntElt ->
   NonsplitCollector(SQP, p) : SQProc, RngIntElt ->

Splitcomponents

   Splitcomponents(G) : GrphUnd -> [ { GrphVert } ], [ [ GrphVert ]]

SplitElementaryAbelianSection

   SplitElementaryAbelianSection(SQP: parameter) : SQProc -> BoolElt, SQProc

SplitExtension

   SplitExtension(G, M, F) : GrpFin, ModRng, GrpFinFP -> GrpFinFP
   SplitExtension(G, M, F) : GrpPerm, ModRng, GrpFP -> GrpFP
   SplitExtension(CM) : ModCoho -> Grp

SplitExtensionSpace

   SplitExtensionSpace(SQP): SQProc -> SeqEnum

SplitSection

   SplitSection(SQP: parameter) : SQProc -> BoolElt, SQProc

Splitting

   FactorisationOverSplittingField(f) : RngPolElt(FldFin) -> [<RngPolElt, RngIntElt>], FldFin
   FactorizationOverSplittingField(f) : RngPolElt(FldFin) -> [<RngPolElt, RngIntElt>], FldFin
   PointsOverSplittingField(Z) : Clstr -> SetEnum
   RootsInSplittingField(f) : RngPolElt(FldFin) -> [<RngPolElt, RngIntElt>], FldFin
   SplittingField(F) : FldAlg -> FldAlg, SeqEnum
   SplittingField(S) : RngPolElt(FldFin) -> FldFin
   SplittingField(P) : RngPolElt(FldFin) -> FldFin
   SplittingField(f) : RngUPolElt -> FldAlg

splitting

   Reducibility (MODULES OVER A MATRIX ALGEBRA)

SplittingField

   SplittingField(F) : FldAlg -> FldAlg, SeqEnum
   SplittingField(S) : RngPolElt(FldFin) -> FldFin
   SplittingField(P) : RngPolElt(FldFin) -> FldFin
   SplittingField(f) : RngUPolElt -> FldAlg

SPolynomial

   SPolynomial(f, g) : ModMPolElt, ModMPolElt -> ModMPolElt
   SPolynomial(f, g) : RngMPolElt, RngMPolElt -> RngMPolElt

SPrincipal

   IsSPrincipal(D, S) : DivFunElt, SetEnum[PlcFunElt] -> BoolElt, FldFunElt
   SPrincipalDivisorMap(S) : SetEnum[PlcFunElt] -> Map

SPrincipalDivisorMap

   SPrincipalDivisorMap(S) : SetEnum[PlcFunElt] -> Map

Sprint

   Sprint(x) : Elt -> MonStgElt

sprint

   Printing to a String (INPUT AND OUTPUT)

Sprintf

   Sprintf(F, ...) : MonStElt, ... -> MonStgElt
   IO_Sprintf (Example H3E8)

SQ

   SQ_check(SQP) : SQProc -> BoolElt

sq

   Checking the soluble quotient (FINITELY PRESENTED GROUPS: ADVANCED)

Sqrt

   InverseSqrt(x) : RngPadElt -> RngPadElt
   InverseSquareRoot(x) : RngPadElt -> RngPadElt
   InverseSquareRoot(x, y) : RngPadElt, RngPadElt -> RngPadElt
   Sqrt(a) : RngIntResElt -> RngIntResElt
   Sqrt(a) : RngOrdElt -> RngOrdElt
   SquareRoot(a) : FldACElt -> FldACElt
   SquareRoot(c) : FldComElt -> FldComElt
   SquareRoot(a) : FldFinElt -> FldFinElt
   SquareRoot(I) : RngFunOrdIdl -> RngFunOrdIdl
   SquareRoot(I) : RngOrdFracIdl -> RngOrdFracIdl
   SquareRoot(x) : RngPadElt -> RngPadElt
   SquareRoot(s) : RngPowLazElt -> RngPowLazElt
   SquareRoot(f) : RngSerElt -> RngSerElt

Sqrts

   AllSqrts(a) : RngIntResElt -> [ RngIntResElt ]
   AllSquareRoots(a) : RngIntResElt -> [ RngIntResElt ]

Square

   AllSqrts(a) : RngIntResElt -> [ RngIntResElt ]
   AllSquareRoots(a) : RngIntResElt -> [ RngIntResElt ]
   ExteriorSquare(a) : AlgMat -> AlgMatElt
   ExteriorSquare(L) : Lat -> Lat
   ExteriorSquare(M) : ModGrp -> ModGrp
   InverseSquareRoot(x) : RngPadElt -> RngPadElt
   InverseSquareRoot(x, y) : RngPadElt, RngPadElt -> RngPadElt
   IsPower(a, k) : FldAlgElt, RngIntElt -> BoolElt, FldAlgElt
   IsSquare(a) : FldACElt -> BoolElt
   IsSquare(a) : FldFinElt -> BoolElt
   IsSquare(I) : RngFunOrdIdl -> BoolElt, RngFunOrdIdl
   IsSquare(n) : RngIntElt -> BoolElt, RngIntElt
   IsSquare(n) : RngIntResElt -> BoolElt, RngIntResElt
   IsSquare(I) : RngOrdFracIdl -> BoolElt, RngOrdFracIdl
   IsSquare(x) : RngPadElt -> BoolElt, RngPadElt
   IsSquare(s) : RngPowLazElt -> BoolElt, RngPowLazElt
   Sqrt(a) : RngIntResElt -> RngIntResElt
   Sqrt(a) : RngOrdElt -> RngOrdElt
   SquareFreeFactorization(f) : RngUPolElt -> [ < RngUPolElt, RngIntElt > ]
   SquareLatticeGraph(n) : RngIntElt -> GrphUnd
   SquareRoot(a) : FldACElt -> FldACElt
   SquareRoot(c) : FldComElt -> FldComElt
   SquareRoot(a) : FldFinElt -> FldFinElt
   SquareRoot(I) : RngFunOrdIdl -> RngFunOrdIdl
   SquareRoot(I) : RngOrdFracIdl -> RngOrdFracIdl
   SquareRoot(x) : RngPadElt -> RngPadElt
   SquareRoot(s) : RngPowLazElt -> RngPowLazElt
   SquareRoot(f) : RngSerElt -> RngSerElt
   SymmetricSquare(a) : AlgMatElt -> AlgMatElt
   SymmetricSquare(L) : Lat -> Lat
   SymmetricSquare(M) : ModGrp -> ModGrp


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