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Subindex: Iso  ..  IsolGroup


Iso

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

iso

   iso< A -> B | L> : Grp, Grp, List -> Map
   hom< 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

Isogenies

   IsogeniesAreEqual(I, J) : Map, Map -> BoolElt
   I eq J : Map, Map -> BoolElt

IsogeniesAreEqual

   IsogeniesAreEqual(I, J) : Map, Map -> BoolElt
   I eq J : Map, Map -> BoolElt

Isogenous

   IsIsogenous(E, F) : CrvEll, CrvEll -> BoolElt
   IsIsogenous( G, H ) : GrpLie, GrpLie -> BoolElt
   IsIsogenous( R1, R2 ) : RootDtm, RootDtm -> BoolElt

Isogeny

   DualIsogeny(phi) : Map -> Map
   IdentityIsogeny(E) : CrvEll -> Map
   Isogeny(E,P) : CrvEll, Pt) -> MapCrvEll
   IsogenyFromKernel(E, psi) : CrvEll, RngUPolElt -> CrvEll, Map
   IsogenyFromKernel(G) : CrvEllSubgroup -> CrvEll, Map
   IsogenyFromKernelFactored(E, psi) : CrvEllSubgroup -> CrvEll, Map
   IsogenyFromKernelFactored(G) : CrvEllSubgroup -> CrvEll, Map
   IsogenyGroup( G ) : GrpLie -> RootDtm
   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
   IsogenyMu(phi) : Map -> Map, Map
   IsomorphismToIsogeny(I) : Map -> Map
   Morphism(E, F, psi, phi, omega) : CrvEll, CrvEll, RngMPolElt, RngMPolElt, RngMPolElt -> Map
   NumberOfIsogenyClasses(D, N) : DB, RngIntElt -> RngIntElt
   PushThroughIsogeny(I, v) : Map, RngUPolElt -> RngUPolElt
   TwoIsogeny(P) : PtEll -> Map
   CrvEll_Isogeny (Example H91E42)

IsogenyFromKernel

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

IsogenyFromKernelFactored

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

IsogenyGroup

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

IsogenyGroups

   RootDtm_IsogenyGroups (Example H80E8)

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

IsogenyMu

   IsogenyMu(phi) : Map -> Map, Map

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

isolgps

   Basic Functions (DATABASES OF GROUPS)
   Database of Irreducible Soluble Subgroups of GL(n,p) for n > 1 and p^n < 256 (OVERVIEW)
   Database of Soluble Primitive Groups (DATABASES OF GROUPS)

isolgps-database

   Database of Soluble Primitive Groups (DATABASES OF GROUPS)

IsolGroup

   Group(D, n, p, i) : DB, RngIntElt, RngIntElt, RngIntElt -> GrpMat
   IsolGroup(n, p, i) : RngIntElt, RngIntElt, RngIntElt -> GrpMat
   GrpData_IsolGroup (Example H24E15)


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