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Subindex: orbit  ..  Order


orbit

   Action on Orbits (MATRIX GROUPS OVER GENERAL RINGS)
   Action on Orbits (PERMUTATION GROUPS)
   Images, Orbits and Stabilizers (PERMUTATION GROUPS)
   Orbit and Stabilizer Functions for Large Groups (MATRIX GROUPS OVER GENERAL RINGS)
   Orbits and Stabilizers (MATRIX GROUPS OVER GENERAL RINGS)

orbit-action

   Action on Orbits (MATRIX GROUPS OVER GENERAL RINGS)
   Action on Orbits (PERMUTATION GROUPS)

OrbitAction

   OrbitAction(G, T) : GrpMat, Elt -> Hom(Grp), GrpPerm, GrpMat
   OrbitAction(G, T) : GrpPerm, GSet -> Hom(Grp), GrpPerm, GrpPerm

OrbitActionBounded

   OrbitActionBounded(G, T, b) : GrpMat, Elt, RngIntElt -> BoolElt, Hom(Grp), GrpPerm, GrpMat

OrbitActions

   GrpPerm_OrbitActions (Example H19E26)

Orbital

   OrbitalGraph(P, u, T) : GrpPerm, RngIntElt, { RngIntElt } -> GrphUnd

OrbitalGraph

   OrbitalGraph(P, u, T) : GrpPerm, RngIntElt, { RngIntElt } -> GrphUnd

OrbitBounded

   OrbitBounded(G, y, b) : GrpMat, Elt, RngIntElt -> BoolElt, SetEnum

OrbitClosure

   OrbitClosure(G, S) : GrpMat, { Elt } -> GSet
   OrbitClosure(G, Y, S) : GrpPerm, GSet, { Elt } -> GSet

OrbitImage

   OrbitImage(G, T) : GrpMat, Set -> GrpPerm
   OrbitImage(G, T) : GrpPerm, GSet -> GrpPerm

OrbitImageBounded

   OrbitImageBounded(G, T, b) : GrpMat, Set, RngIntElt -> BoolElt, GrpPerm

OrbitKernel

   OrbitKernel(G, T) : GrpMat, Set -> GrpMat
   OrbitKernel(G, T) : GrpPerm, GSet -> GrpPerm

OrbitKernelBounded

   OrbitKernelBounded(G, T, b) : GrpMat, Set, RngIntElt -> BoolElt, GrpMat

OrbitRepresentatives

   OrbitRepresentatives(G) : GrpPerm -> SeqEnum

Orbits

   BasicOrbits(G) : GrpPerm -> [SetIndx]
   GammaOrbitsOnRoots(R) : RootDtm -> SeqEnum[GSetEnum]
   GammaOrbitsRepresentatives(R, delta) : RootDtm, RngIntElt -> SeqEnum
   LineOrbits(G) : GrpMat -> [ SetIndx ]
   Orbits(G) : GrpMat -> [ SetIndx ]
   Orbits(A, Y) : GrpPerm, GSet -> [ GSet ]
   Orbits(G, Y) : GrpPerm, GSet -> [ GSet ]
   Orbits(G, Y) : GrpPerm, GSet -> [ GSet ]
   Orbits(G, Y) : GrpPerm, GSet -> [ GSet ]
   OrbitsOfSpaces(G, k) : GrpMat, RngIntElt -> SeqEnum
   OrbitsPartition(G) : GrphUnd -> [ { GrphVert } ]
   OrbitsPi(R) : RootDtm -> SeqEnum[GSetEnum]
   ReducedOrbits(Q) : QuadBin -> [ {@ QuadBinElt @} ]
   GrpMatGen_Orbits (Example H20E17)

OrbitsOfSpaces

   OrbitsOfSpaces(G, k) : GrpMat, RngIntElt -> SeqEnum
   GrpMatGen_OrbitsOfSpaces (Example H20E18)
   GrpMatGen_OrbitsOfSpaces (Example H20E19)

OrbitsPartition

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

OrbitsPi

   DistinguishedOrbitsPi(R) : RootDtm -> SeqEnum[GSetEnum]
   OrbitsPi(R) : RootDtm -> SeqEnum[GSetEnum]

ord

   Operations on Ideals (QUATERNION ALGEBRAS)

ord-ops

   Operations on Ideals (QUATERNION ALGEBRAS)

ord_creat_cyc

   AlgAssVOrd_ord_creat_cyc (Example H73E1)
   AlgAssVOrd_ord_creat_cyc (Example H73E2)

Order

   Order(J) : JacHyp -> RngIntElt
   # J : JacHyp -> RngIntElt
   # G: SchGrpEll -> RngIntElt
   # H: SetPtEll -> RngIntElt
   AbsoluteOrder(O) : RngFunOrd -> RngFunOrd
   AbsoluteOrder(O) : RngOrd -> RngOrd
   AdditiveOrder(G) : GrpLie -> SeqEnum
   AdditiveOrder(W) : GrpPermCox -> SeqEnum
   AdditiveOrder(R) : RootStr -> SeqEnum
   AdditiveOrder(R) : RootSys -> SeqEnum
   ApproximateOrder(x) : ModAbVarElt -> RngIntElt
   ChangeOrder(I, order) : RngMPol, ..., -> RngMPol, Map
   ChangeOrder(I, Q) : RngMPol, RngMPol -> RngMPol, Map
   ComponentGroupOrder(A, p) : ModAbVar, RngIntElt -> RngIntElt
   ComponentGroupOrder(M, p) : ModSym, RngIntElt -> RngIntElt
   CoxeterGroupOrder(C) : AlgMatElt -> .
   CoxeterGroupOrder(M) : AlgMatElt -> .
   CoxeterGroupOrder(D) : GrphDir -> .
   CoxeterGroupOrder(G) : GrphUnd -> .
   CoxeterGroupOrder(N) : MonStgElt -> .
   CoxeterGroupOrder(R) : RootStr -> RngIntElt
   CoxeterGroupOrder(R) : RootSys -> RngIntElt
   CyclotomicOrder(K) : FldCyc -> RngIntElt
   ECMOrder(p, s) : RngIntElt, RngIntElt -> RngIntElt
   EquationOrder(A) : FldAb -> RngOrd
   EquationOrder(K) : FldNum -> RngOrd
   EquationOrder(F) : FldQuad -> RngQuad
   EquationOrder(O) : RngFunOrd -> RngFunOrd
   EquationOrder(O) : RngOrd -> RngOrd
   EquationOrder(f) : RngUPolElt -> RngOrd
   EquationOrderFinite(F) : FldFun -> RngFunOrd
   EquationOrderInfinite(F) : FldFun -> RngFunOrd
   FactoredOrder(A) : AlgMatElt -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(a) : AlgMatElt -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(a) : FldFinElt -> RngIntElt
   FactoredOrder(G) : GrpAb -> [<RngIntElt, RngIntElt>]
   FactoredOrder(A) : GrpAutCrv -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(A) : GrpAuto -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(G) : GrpFin -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(G) : GrpGPC -> [<RngIntElt, RngIntElt>]
   FactoredOrder(G) : GrpLie -> RngIntElt
   FactoredOrder(G) : GrpMat -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(g) : GrpMatElt -> [ <RngIntElt, RngIntElt> ], BoolElt
   FactoredOrder(G) : GrpPC -> [<RngIntElt, RngIntElt>]
   FactoredOrder(G) : GrpPerm -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(J) : JacHyp -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(P) : Process(pQuot) -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(P) : PtEll -> RngIntElt
   FactoredOrder(G) : SchGrpEll -> RngIntElt
   FactoredOrder(H) : SetPtEll -> RngIntElt
   FactoredProjectiveOrder(a) : AlgMatElt -> [ <RngIntElt, RngIntElt> ]
   FactoredProjectiveOrder(A) : AlgMatElt -> [ <RngIntElt, RngIntElt> ], RngElt
   FactoredProjectiveOrder(A) : AlgMatElt -> [ <RngIntElt, RngIntElt> ], RngElt
   GroupOfLieTypeFactoredOrder(R, q) : RootDtm, RngElt -> RngIntElt
   GroupOfLieTypeOrder(R, q) : RootDtm, RngElt -> RngIntElt
   HasFiniteOrder(g) : GrpMatElt -> BoolElt, RngIntElt
   HasFiniteOrder(A) : Mtrx -> BoolElt
   HasOrder(P, n) : JacHypPt, RngIntElt -> BoolElt
   IsAbsoluteOrder(O) : RngFunOrd -> BoolElt
   IsAbsoluteOrder(O) : RngOrd -> BoolElt
   IsAdditiveOrder(R, Q) : RootStr, [RngIntElt] -> BoolElt
   IsAdditiveOrder(R, Q) : RootSys, [RngIntElt] -> BoolElt
   IsEquationOrder(O) : RngFunOrd -> BoolElt
   IsEquationOrder(O) : RngOrd -> BoolElt
   IsFiniteOrder(O) : RngFunOrd -> BoolElt
   IsOrder(P, m) : PtEll, RngIntElt -> BoolElt
   IsOrderTerm(s) : RngDiffElt -> BoolElt
   IsolOrder(n, p, i) : RngIntElt, RngIntElt, RngIntElt -> RngIntElt
   KeepGeneratorOrder(SQG, SQH) : SQProc, SQProc -> SeqEnum
   LeftOrder(I) : AlgAssVOrdIdl[RngOrd] -> AlgAssVOrd
   LeftOrder(I) : AlgQuatOrdIdl -> AlgQuatOrd
   MaximalOrder(O) : AlgAssVOrd[RngOrd] -> AlgAssVOrd
   MaximalOrder(A) : AlgAssV[FldRat] -> AlgAssVOrd
   MaximalOrder(A) : AlgQuat[FldRat] -> AlgQuatOrd
   MaximalOrder(A) : FldAb -> RngOrd
   MaximalOrder(F) : FldAlg -> RngOrd
   MaximalOrder(F) : FldQuad -> RngQuad
   MaximalOrder(Q) : FldRat -> RngInt
   MaximalOrder(O) : RngFunOrd -> RngFunOrd
   MaximalOrder(O) : RngOrd -> RngOrd
   MaximalOrder(f) : RngUPolElt -> RngOrd
   MaximalOrderFinite(F) : FldFun -> RngFunOrd
   MaximalOrderInfinite(F) : FldFun -> RngFunOrd
   Order(I) : AlgAssVOrdIdl -> AlgAssVOrd
   Order(A, m, I) : AlgAssV[FldOrd], AlgMatElt[FldOrd], SeqEnum[RngOrdFracIdl] -> AlgAssVOrd
   Order(A, pm) : AlgAssV[FldOrd], PMat -> AlgAssVOrd
   Order(x) : AlgChtrElt -> RngIntElt
   Order(A) : AlgMatElt -> RngIntElt
   Order(a) : AlgMatElt -> RngIntElt
   Order(D) : Dsgn -> RngIntElt
   Order(a) : FldFinElt -> RngIntElt
   Order(FF) : FldFunOrd -> RngFunOrd
   Order(F) : FldOrd -> RngOrd
   Order(G) : GrpAb -> RngIntElt
   Order(x) : GrpAbElt -> RngIntElt
   Order(A) : GrpAbGen -> RngIntElt
   Order(A) : GrpAtlas -> RngIntElt
   Order(A) : GrpAutCrv -> RngIntElt
   Order(f) : GrpAutCrvElt -> RngIntElt
   Order(A) : GrpAuto -> RngIntElt
   Order(f) : GrpAutoElt -> RngIntElt
   Order(u) : GrpBBElt -> RngIntElt
   Order(g) : GrpElt -> RngIntElt
   Order(G) : GrpFin -> RngIntElt
   Order(G) : GrpGPC -> RngIntElt
   Order(x) : GrpGPCElt -> RngIntElt
   Order(G) : Grph -> RngIntElt
   Order(G) : GrphMult -> RngIntElt
   Order(G) : GrpLie -> RngIntElt
   Order(G) : GrpMat -> RngIntElt
   Order(g) : GrpMatElt -> RngIntElt, BoolElt
   Order(G) : GrpPC -> RngIntElt
   Order(x) : GrpPCElt -> RngIntElt
   Order(G) : GrpPerm -> RngIntElt
   Order(g) : GrpPermElt -> RngIntElt
   Order(G) : GrpRWS -> RngIntElt
   Order(G) : GrpRWS -> RngIntElt
   Order(P) : JacHypPt -> RngIntElt
   Order(P, l, u, n, m) : JacHypPt, RngIntElt, RngIntElt ,RngIntElt, RngIntElt -> RngIntElt
   Order(P, l, u) : JacHypPt, RngIntElt, RngIntElt -> RngIntElt
   Order(x) : ModAbVarElt -> RngIntElt
   Order(G) : ModAbVarSubGrp -> RngIntElt
   Order(M) : MonRWS -> RngIntElt
   Order(g: parameters) : GrpAbGenElt -> RngIntElt
   Order(g, l, u, n, m: parameters) : GrpAbGenElt, RngIntElt, RngIntElt ,RngIntElt, RngIntElt -> RngIntElt
   Order(g, l, u: parameters) : GrpAbGenElt, RngIntElt, RngIntElt -> RngIntElt
   Order(G: parameters) : GrpFP -> RngIntElt
   Order(P) : Plane -> RngIntElt
   Order(pm) : PMat -> Rng
   Order(P) : Process(pQuot) -> RngIntElt
   Order(P) : PtEll -> RngIntElt
   Order(f) : QuadBinElt -> RngIntElt
   Order(R, S) : Rng, SeqEnum[AlgAssVElt] -> AlgAssVOrd
   Order(L) : RngDiffOpElt -> RngIntElt
   Order(O, T, d) : RngFunOrd, AlgMatElt, RngElt -> RngFunOrd
   Order(O, M) : RngFunOrd, ModDed -> RngFunOrd
   Order(O, S) : RngFunOrd, [FldFunElt] -> RngFunOrd
   Order(I) : RngFunOrdIdl -> RngFunOrd
   Order(a) : RngIntResElt -> RngIntElt
   Order(O, T, d) : RngOrd, AlgMatElt, RngIntElt -> RngOrd
   Order(O, M) : RngOrd, ModDed -> RngOrd
   Order(I) : RngOrdFracIdl -> RngOrd
   Order(S) : SeqEnum[AlgAssVElt[FldAlg]] -> AlgAssVOrd
   Order(S, I) : SeqEnum[AlgAssVElt[FldAlg]], SeqEnum[RngOrdFracIdl] -> AlgAssVOrd
   Order(H, r) : SetPtEll, RngIntElt -> RngIntElt
   Order(e) : SubGrpLatElt -> RngIntElt
   Order( [ e_1, ... e_n ] ): [FldAlgElt] -> RngOrd
   OrderAutomorphismGroupAbelianPGroup (A) : SeqEnum -> RngIntElt
   OuterOrder(A) : GrpAuto -> RngIntElt
   ProjectiveOrder(a) : AlgMatElt -> RngIntElt
   ProjectiveOrder(A) : AlgMatElt -> RngIntElt, RngElt
   ProjectiveOrder(g) : GrpMatElt -> RngIntElt, RngElt
   QuadraticOrder(Q) : QuadBin -> RngQuad
   QuaternionOrder(A, M) : AlgQuat[FldRat], RngIntElt -> AlgQuatOrd
   QuaternionOrder(R, S) : Rng, [AlgQuatElt] -> AlgQuatOrd
   QuaternionOrder(N) : RngIntElt -> AlgQuatOrd
   QuaternionOrder(D1, D2, T) : RngIntElt, RngIntElt, RngIntElt -> AlgQuat
   QuaternionOrder(S) : [AlgQuatElt[FldRat]] -> AlgQuatOrd
   RightOrder(I) : AlgQuatOrdIdl -> AlgQuatOrd
   SetOrderMaximal(O, b) : RngFunOrd, BoolElt ->
   SetOrderMaximal(O, b) : RngOrd, BoolElt ->
   SetOrderTorsionUnit(O, e, r) : RngOrd, RngOrdElt, RngIntElt ->
   SetOrderUnitsAreFundamental(O) : RngOrd ->
   SubOrder(O) : RngFunOrd -> RngFunOrd
   SubOrder(O) : RngOrd -> RngOrd
   TameOrder(A) : AlgQuat[FldAlg] -> AlgAssVOrd
   TwistedTorusOrder(R, w) : RootDtm, GrpPermElt -> SeqEnum
   WeakOrder(L) : RngDiffOpElt -> RngIntElt
   pMaximalOrder(O, p) : AlgAssVOrd, RngOrdIdl -> AlgAssVOrd, RngIntElt
   pMaximalOrder(O, p) : RngFunOrd, RngFunOrdIdl -> RngFunOrd
   pMaximalOrder(O, p) : RngFunOrd, RngFunOrdIdl -> RngFunOrd
   pMaximalOrder(O, p) : RngOrd, RngIntElt -> RngOrd
   CrvEllFldFin_Order (Example H103E2)
   GB_Order (Example H94E1)
   GrpAtc_Order (Example H35E5)
   GrpMatGen_Order (Example H20E11)
   GrpMatGen_Order (Example H20E9)
   GrpRWS_Order (Example H34E6)
   Grp_Order (Example H18E14)


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