Subindex: <B><B>IsNormalised</B> .. Isol</B>

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Subindex: IsNormalised .. Isol

IsNormalised

IsNormalised(B, action) : Grp, Map -> BoolElt

IsNormalising

IsNormalising(G) : GrpLie -> BoolElt

IsNull

   IsNull(G) : Grph -> BoolElt
   IsNull(G) : GrphMult -> BoolElt
   IsNull(S) : SeqEnum -> BoolElt
   IsNull(R) : SetEnum -> BoolElt

Iso

Iso(C1, C2) : CrvHyp, CrvHyp -> PowIsoSch
Maps(D, C) : Str, Str -> PowMap

iso

iso< A -> B | L> : Grp, Grp, List -> Map
iso< X -> Y | F, G > : Sch,Sch,SeqEnum,SeqEnum -> MapAutSch

IsOdd

IsOdd(x) : GrpDrchElt -> BoolElt
IsOdd(n) : RngIntElt -> BoolElt

isog-curves

CrvEll_isog-curves (Example H102E23)

isogenies

Isogenous Curves (ELLIPTIC CURVES)

Isogenous

   IsIsogenous(A1, A2) : AnHcJac, AnHcJac -> Bool, Mtrx, Mtrx
   IsIsogenous(E, F) : CrvEll[FldRat], CrvEll[FldRat] -> BoolElt, Map
   IsIsogenous(G, H) : GrpLie, GrpLie -> BoolElt
   IsIsogenous(A, B) : ModAbVar, ModAbVar -> BoolElt
   IsIsogenous(R1, R2) : RootDtm, RootDtm -> BoolElt
   IsIsogenousPeriodMatrices(P1, P2) : Mtrx, Mtrx -> Bool, Mtrx
   IsogenousCurves(E) : CrvEll -> SeqEnum, RngIntElt

IsogenousCurves

IsogenousCurves(E) : CrvEll -> SeqEnum, RngIntElt

Isogeny

   DualIsogeny(phi) : Map -> Map
   IdentityIsogeny(E) : CrvEll -> Map
   IsIsogeny(phi) : Map -> BoolElt
   IsIsogeny(phi) : MapModAbVar -> BoolElt
   Isogeny(E,P) : CrvEll, Pt -> MapCrvEll
   IsogenyFromKernel(E, psi) : CrvEll, RngUPolElt -> CrvEll, Map
   IsogenyFromKernel(G) : SchGrpEll -> CrvEll, Map
   IsogenyFromKernelFactored(E, psi) : SchGrpEll -> CrvEll, Map
   IsogenyFromKernelFactored(G) : SchGrpEll -> CrvEll, Map
   IsogenyGroup(G) : GrpLie -> GrpAb, Map
   IsogenyGroup(W) : GrpMat -> GrpAb, Map
   IsogenyGroup(W) : GrpPermCox -> GrpAb
   IsogenyGroup(R) : RootDtm -> GrpAb, Map
   IsogenyMapOmega(I) : Map -> RngMPolElt
   IsogenyMapPhi(I) : Map -> RngUPolElt
   IsogenyMapPhiMulti(I) : Map -> RngUPolElt
   IsogenyMapPsi(I) : Map -> RngUPolElt
   IsogenyMapPsiMulti(I) : Map -> RngUPolElt
   IsogenyMapPsiSquared(I) : Map -> RngUPolElt
   IsomorphismToIsogeny(I) : Map -> Map
   NumberOfIsogenyClasses(D, N) : DB, RngIntElt -> RngIntElt
   OnlyUpToIsogeny(phi) : MapModAbVar -> BoolElt
   PushThroughIsogeny(I, v) : Map, RngUPolElt -> RngUPolElt
   ThreeIsogenyDescent(E : parameters) : CrvEll -> [ Crv ], List, [ Crv ], List, MapSch
   ThreeIsogenyDescentCubic(phi, alpha) : MapSch, Any -> Crv, MapSch
   ThreeIsogenySelmerGroups(E : parameters) : CrvEll -> GrpAb, Map, GrpAb, Map, MapSch
   TwoIsogeny(P) : PtEll -> Map
   CrvEll_Isogeny (Example H102E53)

IsogenyFromKernel

IsogenyFromKernel(E, psi) : CrvEll, RngUPolElt -> CrvEll, Map
IsogenyFromKernel(G) : SchGrpEll -> CrvEll, Map

IsogenyFromKernelFactored

IsogenyFromKernelFactored(E, psi) : SchGrpEll -> CrvEll, Map
IsogenyFromKernelFactored(G) : SchGrpEll -> CrvEll, Map

IsogenyGroup

   IsogenyGroup(G) : GrpLie -> GrpAb, Map
   IsogenyGroup(W) : GrpMat -> GrpAb, Map
   IsogenyGroup(W) : GrpPermCox -> GrpAb
   IsogenyGroup(R) : RootDtm -> GrpAb, Map

IsogenyGroups

RootDtm_IsogenyGroups (Example H85E11)

IsogenyMapOmega

IsogenyMapOmega(I) : Map -> RngMPolElt

IsogenyMapPhi

IsogenyMapPhi(I) : Map -> RngUPolElt

IsogenyMapPhiMulti

IsogenyMapPhiMulti(I) : Map -> RngUPolElt

IsogenyMapPsi

IsogenyMapPsi(I) : Map -> RngUPolElt

IsogenyMapPsiMulti

IsogenyMapPsiMulti(I) : Map -> RngUPolElt

IsogenyMapPsiSquared

IsogenyMapPsiSquared(I) : Map -> RngUPolElt

Isol

   Group(D, n, p, i) : DB, RngIntElt, RngIntElt, RngIntElt -> GrpMat
   IsolGroup(n, p, i) : RngIntElt, RngIntElt, RngIntElt -> GrpMat
   IsolGroupDatabase() : -> DB
   IsolGroupOfDegreeFieldSatisfying(d, p, f) : RngIntElt, RngIntElt, Predicate -> GrpMat
   IsolGroupOfDegreeSatisfying(d, f) : RngIntElt, Predicate -> GrpMat
   IsolGroupSatisfying(f) : Predicate -> GrpMat
   IsolGroupsOfDegreeFieldSatisfying(d, p, f) : RngIntElt, RngIntElt, Predicate -> SeqEnum
   IsolGroupsOfDegreeSatisfying(d, f) : RngIntElt, Predicate -> SeqEnum
   IsolGroupsSatisfying(f) : Predicate -> SeqEnum
   IsolGuardian(n, p, i) : RngIntElt, RngIntElt, RngIntElt -> GrpMat
   IsolInfo(n, p, i) : RngIntElt, RngIntElt, RngIntElt -> MonStgElt
   IsolIsPrimitive(n, p, i) : RngIntElt, RngIntElt, RngIntElt -> BoolElt
   IsolMinBlockSize(n, p, i) : RngIntElt, RngIntElt, RngIntElt -> RngIntElt
   IsolNumberOfDegreeField(n, p) : RngIntElt, RngIntElt -> RngIntElt
   IsolOrder(n, p, i) : RngIntElt, RngIntElt, RngIntElt -> RngIntElt
   IsolProcess() : -> Process
   IsolProcessOfDegree(d) : . -> Process
   IsolProcessOfDegreeField(d, p) : ., . -> Process
   IsolProcessOfField(p) : . -> Process

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