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Subindex: IsPrimary  ..  IsReflectionGroup


IsPrimary

   IsPrimary(I) : RngMPol -> BoolElt
   IsPrimary(I) : RngMPolRes -> BoolElt

IsPrime

   IsPrime(x) : RngElt -> BoolElt
   IsPrime(I) : RngFunOrdIdl -> BoolElt
   IsPrime(n) : RngIntElt -> BoolElt
   IsPrime(n) : RngIntElt -> BoolElt
   IsPrime(I) : RngMPol -> BoolElt
   IsPrime(I) : RngMPolRes -> BoolElt
   IsPrime(I) : RngOrdIdl -> BoolElt, RngOrdIdl
   RngInt_IsPrime (Example H35E3)

IsPrimePower

   IsPrimePower(n) : RngIntElt -> BoolElt, RngIntElt, RngIntElt

IsPrimitive

   IsPrimitive(a) : FldAlgElt -> BoolElt
   IsPrimitive(a) : FldFinElt -> BoolElt
   IsPrimitive(G) : GrphUnd -> BoolElt
   IsPrimitive(G) : GrpPerm -> BoolElt
   IsPrimitive(G, Y) : GrpPerm, GSet -> BoolElt
   IsPrimitive(G: parameters) : GrpMat -> BoolElt
   IsPrimitive(n, m) : RngIntElt, RngIntElt -> BoolElt
   IsPrimitive(n) : RngIntResElt -> BoolElt
   IsPrimitive(f) : RngUPolElt -> BoolElt
   GrpMat_IsPrimitive (Example H18E31)

IsPrincipal

   IsPrincipal(D) : DivCrvElt -> BoolElt,FldFunRatMElt
   IsPrincipal(I) : RngFunOrdIdl -> BoolElt, FldFunElt
   IsPrincipal(I) : RngMPol -> BoolElt, RngMPolElt
   IsPrincipal(I) : RngOrdFracIdl -> BoolElt, FldOrdElt

IsPrincipalIdealDomain

   IsPrincipalIdealDomain(R) : Rng -> BoolElt
   IsPID(R) : Rng -> BoolElt

IsPrincipalIdealRing

   IsPrincipalIdealRing(R) : Rng -> BoolElt
   IsPIR(R) : Rng -> BoolElt
   IsPrincipalIdealRing(F) : FldAlg -> BoolElt
   IsPrincipalIdealRing(O) : RngOrd -> BoolElt

IsProbablePrime

   IsProbablyPrime(n: parameter) : RngIntElt -> BoolElt
   IsProbablePrime(n: parameter) : RngIntElt -> BoolElt

IsProbablyMaximal

   IsProbablyMaximal(G, H: parameters) : GrpPerm, GrpPerm -> BoolElt

IsProbablyPermutationPolynomial

   IsProbablyPermutationPolynomial(p) : RngUPolElt -> BoolElt

IsProbablyPrime

   IsProbablyPrime(n: parameter) : RngIntElt -> BoolElt
   IsProbablePrime(n: parameter) : RngIntElt -> BoolElt

IsProbablySupersingular

   IsProbablySupersingular(E) : CrvEll -> BoolElt

IsProductOfParallelDescendingCycles

   Random(B, r, s, m, n: parameters) : GrpBrd, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> GrpBrdElt
   RandomCFP(B, r, s, m, n: parameters) : GrpBrd, RngIntElt, RngIntElt -> GrpBrdElt
   IsProductOfParallelDescendingCycles(p) : GrpPermElt -> BoolElt

IsProjective

   IsProjective(C) : Code -> BoolElt
   IsProjective(M) : ModAlg -> BoolElt, SeqEnum
   IsProjective(X) : Sch -> BoolElt

IsProjectiveSpace

   IsProjectiveSpace(X) : Sch -> BoolElt

IsProper

   IsProper(I) : RngMPol -> BoolElt
   IsProper(I) : RngMPolRes -> BoolElt

IsProperChainMap

   IsProperChainMap(f) : MapChn -> BoolElt

IsProportional

   IsProportional(X, k) : Mtrx, RngIntElt -> BoolElt, Tup

IsPseudoreflection

   IsPseudoreflection( R ) : AlgMatElt -> BoolElt, ModTupRngElt, ModTupRngElt, RngIntElt

Isqrt

   Isqrt(n) : RngIntElt -> RngIntElt

IsQuadratic

   IsQuadratic(K) : FldNum -> BoolElt, FldQuad

IsQuadraticTwist

   IsQuadraticTwist(E, F) : CrvEll -> BoolElt, RngElt
   IsQuadraticTwist(C1, C2) : CrvHyp, CrvHyp -> BoolElt, RngElt

IsRadical

   IsRadical(I) : RngMPol -> BoolElt
   IsRadical(I) : RngMPolRes -> BoolElt

IsRamified

   IsRamified(P) : RngFunOrdIdl -> BoolElt
   IsRamified(P, O) : RngFunOrdIdl, RngFunOrd -> BoolElt
   IsRamified(P) : RngOrdIdl -> BoolElt
   IsRamified(P, O) : RngOrdIdl, RngOrd -> BoolElt

IsRationalCurve

   IsRationalCurve(C) : Sch -> BoolElt, CrvRat
   IsRationalCurve(X) : Sch -> BoolElt,CrvRat

IsRationalFunctionField

   IsRationalFunctionField(F) : FldFunG -> BoolElt

IsRC

   IsRC(C) : CosetGeom -> BoolElt
   IsResiduallyConnected(C) : CosetGeom -> BoolElt
   IsResiduallyConnected(D) : IncGeom -> BoolElt

IsReal

   IsReal(x) : AlgChtrElt -> BoolElt
   IsReal(c) : FldComElt -> BoolElt
   IsReal(a) : FldCycElt -> BoolElt

IsRealisableOverSmallerField

   IsRealisableOverSmallerField(M) : ModGrp -> BoolElt, ModGrp

IsRealisableOverSubfield

   IsRealisableOverSubfield(M, F) : ModGrp, FldFin -> BoolElt, ModGrp

IsRealReflectionGroup

   IsRealReflectionGroup( G ) : GrpMat -> BoolElt, [], []

IsReduced

   IsReduced(s) : GrphSpl -> BoolElt
   IsReduced(p) : Pt -> BoolElt
   IsReduced(f) : QuadBinElt -> BoolElt
   IsReduced(C) : Sch -> BoolElt
   IsReduced(X) : Sch -> BoolElt

IsReductive

   IsReductive(L) : AlgLie -> BoolElt

IsReflection

   IsReflection( R ) : AlgMatElt -> BoolElt, ModTupRngElt, ModTupRngElt
   IsReflection( w ) : GrpCoxElt -> BoolElt, ., ., RngInt
   IsReflection( w ) : GrpPermCoxElt -> BoolElt, ., ., RngInt

IsReflectionGroup

   IsReflectionGroup( G ) : GrpMat -> BoolElt, [RngIntElt], Mtrx, Mtrx
   IsReflectionGroup( G ) : GrpMat -> BoolElt, [RngIntElt], [ModTupRngElt], [ModTupRngElt]
   GrpRfl_IsReflectionGroup (Example H85E16)


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