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Subindex: Subgroups-2  ..  SubmatrixRange


Subgroups-2

   GrpPerm_Subgroups-2 (Example H58E20)

subgroups-conditional

   Classes of Subgroups Satisfying a Condition (PERMUTATION GROUPS)

Subgroups1

   GrpFP_1_Subgroups1 (Example H70E41)

Subgroups2

   GrpFP_1_Subgroups2 (Example H70E42)

subgroupsabelianpgroups

   GrpPC_subgroupsabelianpgroups (Example H63E25)

SubgroupScheme

   SubgroupScheme(E,P) : CrvEll, Pt -> CrvEllSubgroup
   SubgroupScheme(p,N) : Pt, RngIntElt -> SchGrpEll, CrvEll
   SubgroupScheme(G, f) : SchGrpEll, RngUPolElt -> SchGrpEll

SubgroupSchemes

   CrvEll_SubgroupSchemes (Example H120E14)

SubgroupsData

   SubgroupsData(str) : MonStgElt -> SeqEnum

SubgroupsLift

   SubgroupsLift(G, A, B, Q: parameters) : GrpMat, GrpMat, GrpMat, SeqEnum -> SeqEnum
   SubgroupsLift(G, A, B, Q: parameters) : GrpPerm, GrpPerm, GrpPerm, SeqEnum -> SeqEnum

SubgroupsQuotientsTransfer

   GrpGPC_SubgroupsQuotientsTransfer (Example H72E6)

SubgroupStructure

   GrpGPC_SubgroupStructure (Example H72E9)

SubgroupStructure2

   GrpGPC_SubgroupStructure2 (Example H72E10)

subgrp

   Subgroups of Modular Abelian Varieties (MODULAR ABELIAN VARIETIES)

Subgrp-Arithmetic

   ModAbVar_Subgrp-Arithmetic (Example H136E105)

Subgrp-Creation

   ModAbVar_Subgrp-Creation (Example H136E103)

Subgrp-Elements

   ModAbVar_Subgrp-Elements (Example H136E104)

Subgrp-Invariants

   ModAbVar_Subgrp-Invariants (Example H136E107)

Subgrp-Predicates_and_Comparisons

   ModAbVar_Subgrp-Predicates_and_Comparisons (Example H136E108)

Subgrp-Underlying_Abelian_Group_and_Lattice

   ModAbVar_Subgrp-Underlying_Abelian_Group_and_Lattice (Example H136E106)

Sublattice

   ConeInSublattice(C) : TorCon -> TorCon,Map
   EvenSublattice(L) : Lat -> Lat, Map
   IsSublattice(L) : TorLat -> BoolElt
   PolyhedronInSublattice(P) : TorPol -> TorPol,Map,TorLatElt
   Sublattice(L) : TorLat -> TorLat,TorLatMap
   Sublattice(Q) : [TorLatElt] -> TorLat,TorLatMap
   SublatticeClasses(G) : GrpMat -> [ Lat ]
   SublatticeLattice(G) : GrpMat, RngIntElt -> LatLat, BoolElt
   SublatticeLattice(G, p) : GrpMat, RngIntElt -> LatLat, BoolElt
   SublatticeLattice(G, Q) : GrpMat, [ RngIntElt ] -> LatLat, BoolElt

sublattice

   Creating the lattice of sublattices (LATTICES WITH GROUP ACTION)
   G-invariant Sublattices (LATTICES WITH GROUP ACTION)
   Lattice of Sublattices (LATTICES WITH GROUP ACTION)
   Operations on the Lattice of Sublattices (LATTICES WITH GROUP ACTION)

sublattice-lattice

   Lattice of Sublattices (LATTICES WITH GROUP ACTION)

sublattice-lattice-create

   Creating the lattice of sublattices (LATTICES WITH GROUP ACTION)

sublattice-lattice-op

   Operations on the Lattice of Sublattices (LATTICES WITH GROUP ACTION)

SublatticeClasses

   SublatticeClasses(G) : GrpMat -> [ Lat ]

SublatticeLattice

   SublatticeLattice(G) : GrpMat, RngIntElt -> LatLat, BoolElt
   SublatticeLattice(G, p) : GrpMat, RngIntElt -> LatLat, BoolElt
   SublatticeLattice(G, Q) : GrpMat, [ RngIntElt ] -> LatLat, BoolElt
   GLat_SublatticeLattice (Example H31E9)

SublatticeLattice2

   GLat_SublatticeLattice2 (Example H31E10)

SublatticeLatticeCreate

   GLat_SublatticeLatticeCreate (Example H31E8)

Sublattices

   MaximalSublattices(e) : LatLatElt -> [ LatLatElt ], [ RngIntElt ]
   Sublattices(G) : GrpMat -> [ Lat ], BoolElt
   Sublattices(G, p) : GrpMat, RngIntElt -> [ Lat ], BoolElt
   Sublattices(G, Q) : GrpMat, [ RngIntElt ] -> [ Lat ], BoolElt
   GLat_Sublattices (Example H31E6)

Sublattices2

   GLat_Sublattices2 (Example H31E7)

Submatrix

   ColumnSubmatrix(A, i) : Mtrx, RngIntElt -> Mtrx
   ColumnSubmatrix(A, i, k) : Mtrx, RngIntElt, RngIntElt -> Mtrx
   ColumnSubmatrix(A, i) : MtrxSprs, RngIntElt -> MtrxSprs
   ColumnSubmatrix(A, i, k) : MtrxSprs, RngIntElt, RngIntElt -> MtrxSprs
   ColumnSubmatrixRange(A, i, j) : Mtrx, RngIntElt, RngIntElt -> Mtrx
   ColumnSubmatrixRange(A, i, j) : MtrxSprs, RngIntElt, RngIntElt -> MtrxSprs
   RowSubmatrix(A, i) : Mtrx, RngIntElt -> Mtrx
   RowSubmatrix(A, i, k) : Mtrx, RngIntElt, RngIntElt -> Mtrx
   RowSubmatrix(A, i) : MtrxSprs, RngIntElt -> MtrxSprs
   RowSubmatrix(A, i, k) : MtrxSprs, RngIntElt, RngIntElt -> MtrxSprs
   RowSubmatrixRange(A, i, j) : Mtrx, RngIntElt, RngIntElt -> Mtrx
   RowSubmatrixRange(A, i, j) : MtrxSprs, RngIntElt, RngIntElt -> MtrxSprs
   Submatrix(A, i, j, p, q) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   Submatrix(a, i, j, p, q) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   Submatrix(A, I, J) : Mtrx, [RngIntElt], [RngIntElt] -> Mtrx
   Submatrix(A, i, j, p, q) : MtrxSprs, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> MtrxSprs
   Submatrix(A, I, J) : MtrxSprs, [RngIntElt], [RngIntElt] -> MtrxSprs
   SubmatrixRange(A, i, j, r, s) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   SubmatrixRange(A, i, j, r, s) : MtrxSprs, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> MtrxSprs
   Mat_Submatrix (Example H26E5)

submatrix

   Extracting and Inserting Blocks (MATRIX ALGEBRAS)
   Joining Matrices (MATRIX ALGEBRAS)

SubmatrixRange

   ExtractBlockRange(A, i, j, r, s) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   SubmatrixRange(A, i, j, r, s) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   SubmatrixRange(A, i, j, r, s) : MtrxSprs, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> MtrxSprs

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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013