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Subindex: extension  ..  External


extension

   CLASS FIELD THEORY
   Construction of Extensions (FINITELY PRESENTED GROUPS)
   Construction of Extensions (GROUPS)
   Construction of Extensions (MATRIX GROUPS OVER GENERAL RINGS)
   Construction of Extensions (POLYCYCLIC GROUPS)
   Direct Sums (FREE MODULES)
   Extension and Contraction of Ideals (POLYNOMIAL RING IDEAL OPERATIONS)
   Extensions (FINITELY PRESENTED SEMIGROUPS)
   Ground Field and Relationships (FINITE FIELDS)
   New Groups from Existing (FINITE SOLUBLE GROUPS)
   Standard Groups and Extensions (GROUPS)
   Subgroups, Quotient Groups, Homomorphisms and Extensions (POLYCYCLIC GROUPS)
   The Construction of Extensions and their Elements (MATRIX ALGEBRAS)
   Transcendental Extension (INTRODUCTION TO RINGS [BASIC RINGS])
   Variable Extension of Ideals (POLYNOMIAL RING IDEAL OPERATIONS)
   GrpPC_extension (Example H63E6)

extension-contraction

   Extension and Contraction of Ideals (POLYNOMIAL RING IDEAL OPERATIONS)

extension-standard-group

   Standard Groups and Extensions (GROUPS)

ExtensionClasses

   ExtensionClasses(D, Q) : DB, MonStgElt -> SetEnum

ExtensionExponents

   ExtensionExponents(D, Q, p) : DB, MonStgElt, RngIntElt -> SetEnum

ExtensionField

   ExtensionField<F, x | P> : FldFin, ... -> FldFin, Map

ExtensionNumbers

   ExtensionNumbers(D, Q, p, r) : DB, MonStgElt, RngIntElt, RngIntElt -> SetEnum

ExtensionPrimes

   ExtensionPrimes(D, Q) : DB, MonStgElt -> SetEnum

ExtensionProcess

   ExtensionProcess(G, M, F) : GrpPerm, ModRng, GrpFP -> GrpFPExtProc
   ExtensionProcess(G, M, F) : GrpPerm, ModRng, GrpFP -> Process

Extensions

   AllExtensions(R, n) : RngPad, RngIntElt -> [RngPad]
   CentralExtensions(G, U, Q) : GrpPC, GrpPC, [AlgMatElt] -> [GrpPC]
   DistinctExtensions(CM) : ModCoho -> SeqEnum
   ExtensionsOfElementaryAbelianGroup(p, d, G) : RngIntElt, RngIntElt, GrpPerm -> SeqEnum
   ExtensionsOfSolubleGroup(H, G) : GrpPerm, GrpPerm -> SeqEnum
   NumberOfExtensions(R, n) : RngPad, RngIntElt -> RngIntElt
   o`CyclotomicExtensions : RngOrd -> [Rec]
   FldFin_Extensions (Example H21E1)
   Grp_Extensions (Example H57E9)

extensions

   Abelian Extensions (CLASS FIELD THEORY)
   Abelian Extensions (CLASS FIELD THEORY)
   Central Extensions (FINITE SOLUBLE GROUPS)
   Constructing Distinct Extensions (COHOMOLOGY AND EXTENSIONS)
   Constructing Extensions (COHOMOLOGY AND EXTENSIONS)
   Extensions (CHAIN COMPLEXES)
   Extensions (p-ADIC RINGS AND THEIR EXTENSIONS)
   Extensions of Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)
   Extensions of Series Rings (POWER, LAURENT AND PUISEUX SERIES)
   Ring and Field Extensions (DIFFERENTIAL RINGS)

extensions-abelian

   GrpCoh_extensions-abelian (Example H68E9)

extensions-ring-diff

   Ring and Field Extensions (DIFFERENTIAL RINGS)

extensions-soluble

   GrpCoh_extensions-soluble (Example H68E10)

extensions_eg

   RngSer_extensions_eg (Example H49E5)

ExtensionsOfElementaryAbelianGroup

   ExtensionsOfElementaryAbelianGroup(p, d, G) : RngIntElt, RngIntElt, GrpPerm -> SeqEnum

ExtensionsOfSolubleGroup

   ExtensionsOfSolubleGroup(H, G) : GrpPerm, GrpPerm -> SeqEnum

Exterior

   Exterior(P, C) : Plane, { PlanePt } -> { PlanePt }
   ExteriorAlgebra(K, n) : Fld, RngIntElt -> AlgExt
   ExteriorPower(a,r) : AlgMat, RngIntElt -> AlgMatElt
   ExteriorPower(V, n) : ModAlg, RngIntElt -> ModAlg, Map
   ExteriorPower(V, n) : ModAlg, RngIntElt -> ModAlg, Map
   ExteriorSquare(a) : AlgMat -> AlgMatElt
   ExteriorSquare(L) : Lat -> Lat
   ExteriorSquare(M) : ModGrp -> ModGrp

exterior

   Exterior Algebras (FINITELY PRESENTED ALGEBRAS)

ExteriorAlgebra

   ExteriorAlgebra(K, n) : Fld, RngIntElt -> AlgExt
   PMod_ExteriorAlgebra (Example H109E10)

ExteriorPower

   ExteriorPower(a,r) : AlgMat, RngIntElt -> AlgMatElt
   ExteriorPower(V, n) : ModAlg, RngIntElt -> ModAlg, Map
   ExteriorPower(V, n) : ModAlg, RngIntElt -> ModAlg, Map

ExteriorSquare

   ExteriorSquare(a) : AlgMat -> AlgMatElt
   ExteriorSquare(L) : Lat -> Lat
   ExteriorSquare(M) : ModGrp -> ModGrp

External

   AllPassants(P, A) : Plane, { PlanePt } -> { PlaneLn }
   ExternalLines(P, A) : Plane, { PlanePt } -> { PlaneLn }
   GetHelpExternalBrowser() : -> MonStgElt, MonStgElt
   GetHelpExternalSystem() : -> MonStgElt
   GetHelpUseExternal() : -> BoolElt, BoolElt
   SetHelpExternalBrowser(S, T) : MonStgElt, MonStgElt ->
   SetHelpExternalSystem(s) : MonStgElt ->
   SetHelpUseExternalBrowser(b) : BoolElt ->
   SetHelpUseExternalSystem(b) : BoolElt ->

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