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Subindex: Quaternion_Constructor .. Quotient
AlgQuat_Quaternion_Constructor (Example H72E1)
AlgQuat_Quaternion_Constructor_char2 (Example H72E2)
AlgQuat_Quaternion_Constructor_Over_NumberField (Example H72E3)
AlgQuat_Quaternion_Constructor_over_Rationals (Example H72E4)
AlgQuat_Quaternion_IsQuaternionAlgebra (Example H72E13)
AlgQuat_Quaternion_MatrixRing (Example H72E12)
AlgQuat_Quaternion_MaximalOrder (Example H72E5)
AlgQuat_Quaternion_Orders_over_Polynomial_Rings (Example H72E7)
AlgQuat_Quaternion_Orders_over_the_Integers (Example H72E6)
QuaternionAlgebra(S) : AlgQuatOrd -> AlgQuat
QuaternionAlgebra(C) : CrvCon-> AlgQuat
QuaternionAlgebra< K | a, b > : Rng, RngElt, RngElt -> AlgQuat
QuaternionAlgebra< K | a, b > : Rng, RngElt, RngElt -> AlgQuat
QuaternionAlgebra(N) : RngIntElt -> AlgQuat
QuaternionAlgebra(D1, D2, T) : RngIntElt, RngIntElt, RngIntElt -> AlgQuat
QuaternionAlgebra(I) : RngOrdIdl -> AlgQuat
QuaternionAlgebra(I, S) : RngOrdIdl, [PlcNumElt] -> AlgQuat
IsQuaternionic(A) : ModAbVar -> BoolElt
QuaternionicMatrixGroupDatabase() : -> DB
GrpData_Quaternionic (Example H28E14)
QuaternionicMatrixGroupDatabase() : -> DB
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
AlgGen_quaternions (Example H67E1)
Database of Finite Quaternionic Matrix Groups (DATABASES OF GROUPS)
QUAToIntegralUEAMap(U) : AlgQUE -> Map
QUAToIntegralUEAMap(U) : AlgQUE -> Map
Nqubits(H) : HilbSpc -> RngIntElt
NumberOfQubits(H) : HilbSpc -> RngIntElt
SetQuitOnError(b) : BoolElt ->
Quitting (OVERVIEW)
Starting, Interrupting and Terminating (STATEMENTS AND EXPRESSIONS)
quit;
Constructor (OVERVIEW)
Creation of Submodules and Quotient Modules (MODULES OVER AFFINE ALGEBRAS)
Creation of Submodules and Quotient Modules (MODULES OVER AFFINE ALGEBRAS)
Sub- and Superlattices and Quotients (LATTICES)
Subcomplexes and Quotient Complexes (CHAIN COMPLEXES)
quo< F | J > : AlgFr, AlgFr -> AlgFP
quo< A | L > : AlgGen, List -> AlgGen, Map
quo< A | L > : AlgGrp, List -> AlgAss, Map
quo<L | A> : AlgLie, List -> AlgLie, Map
quo< GrpGPC : F | R : parameters > : GrpFP, List(GrpFPRel) -> GrpGPC, Map
quo< GrpPC : F | R : parameters > : GrpFP, List(GrpFPRel) -> GrpPC, Map
quo<G | L> : Grp, List -> Grp
quo<F | R> : GrpAb, List -> GrpAb, Hom(GrpAb)
quo< F | R > : GrpFP, List -> GrpFP, Hom(Grp)
quo<G | L> : GrpGPC, List -> GrpGPC, Map
quo< G | P > : Grph, { { GrphVert } } -> Grph, GrphVertSet, GrphEdgeSet
quo<G | L> : GrpMat, List -> GrpPerm, Map
quo<G | L> : GrpPC, List -> GrpPC, Map
quo<G | L> : GrpPerm, List -> GrpPerm
quo< L | S > : Lat, List -> GrpAb, Map
quo< M | S > : ModAlg, [ModAlgElt] -> ModAlg
quo< C | D > : ModCpx, ModCpx -> ModCpx
quo<M | S> : ModDed, ModDed -> ModDed, Map
quo<M | L> : ModMPol, List -> ModMPol
quo<M | L> : ModMPol, List -> ModMPol
quo<M | L> : ModRng, List -> ModRng
quo<V | L> : ModTupFld, List -> ModTupFld
quo<M | L> : ModTupRng, List -> ModTupRng
quo< FldNum : R | f > : RngUPol, RngUPolElt -> FldNum
quo< R | a_r, ..., a_r > : Rng, RngElt, ..., RngElt -> Rng
quo< Z | I > : RngInt, RngInt -> RngIntRes
quo< Z | m > : RngInt, RngIntElt -> RngIntRes
quo< P | J > : RngMPol, RngMPol -> RngMPolRes
quo< O | I > : RngOrd, RngOrdIdl -> RngOrdRes
quo<L | x> : RngPad, RngPadElt -> .
quo< R | I > : RngUPol, RngUPol -> RngUPolRes
quo< F | relations > : SgpFP, Rel, ..., Rel -> SgpFP
Construction of Subalgebras, Ideals and Quotient Algebras (ALGEBRAS)
Quotient Algebras (ALGEBRAS)
p-Quotient (FINITELY PRESENTED GROUPS)
p-Quotients (Process Version) (FINITELY PRESENTED GROUPS: ADVANCED)
AbelianNormalQuotient(G, H) : GrpPerm -> GrpPerm, Hom(GrpPerm), GrpPerm
AbelianQuotient(G) : Grp -> GrpAb, Hom
AbelianQuotient(G) : GrpFP -> GrpAb, Map
AbelianQuotient(G) : GrpGPC -> GrpAb, Map
AbelianQuotient(G) : GrpMat -> GrpAb, Map
AbelianQuotient(G) : GrpPC -> GrpAb, Map
AbelianQuotient(G) : GrpPerm -> GrpAb, Map
AbelianQuotientInvariants(G) : GrpFP -> [ RngIntElt ]
AbelianQuotientInvariants(H) : GrpFP -> [ RngIntElt ]
AbelianQuotientInvariants(G, n) : GrpFP, RngIntElt -> [ RngIntElt ]
AbelianQuotientInvariants(H, n) : GrpFP, RngIntElt -> [ RngIntElt ]
AbelianQuotientInvariants(G) : GrpGPC -> [ RngIntElt ]
AbelianQuotientInvariants(G) : GrpPC -> SeqEnum
AbsoluteAffineAlgebra(A) : FldAC -> RngUPolRes
AffineAlgebra(A) : FldAC -> RngMPolRes
ColonIdeal(I, J) : RngMPol, RngMPol -> RngMPol
ColonIdeal(I, f) : RngMPol, RngMPolElt -> RngMPol, RngIntElt
ColonIdeal(I, J) : RngOrdIdl, RngOrdIdl -> RngOrdIdl
DualQuotient(L) : Lat -> GrpAb
ElementaryAbelianQuotient(G, p) : GrpAb, RngIntElt -> GrpAb, Map
ElementaryAbelianQuotient(G, p) : GrpFP, RngIntElt -> GrpAb, Map
ElementaryAbelianQuotient(G, p) : GrpGPC, RngIntElt -> GrpAb, Map
ElementaryAbelianQuotient(G, p) : GrpMat, RngIntElt -> GrpAb, Map
ElementaryAbelianQuotient(G, p) : GrpPC, RngIntElt -> GrpAb, Map
ElementaryAbelianQuotient(G, p) : GrpPerm, RngIntElt -> GrpAb, Map
ExactQuotient(n, d) : RngIntElt, RngIntElt -> RngIntElt
ExactQuotient(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt
FreeAbelianQuotient(G) : GrpAb -> GrpAb, Map
FreeAbelianQuotient(G) : GrpGPC -> GrpAb, Map
FundamentalQuotient(Q) : QuadBin -> Map
GaloisQuotient(K, Q) : FldNum, GrpPerm -> SeqEnum[FldNum]
GetQuotient(SQP) : SQProc -> GrpPC, Map
HasComputableAbelianQuotient(G) : GrpFP -> BoolElt, GrpAb, Map
HasInfiniteComputableAbelianQuotient(G) : GrpFP -> BoolElt, GrpAb, Map
IsEmptySimpleQuotientProcess(P) : Rec -> BoolElt
NewQuotient(A) : ModAbVar -> ModAbVar, MapModAbVar
NewQuotient(A, r) : ModAbVar, RngIntElt -> ModAbVar, MapModAbVar
NextSimpleQuotient(~P) : Rec ->
NilpotentQuotient(G, c) : GrpMat, RngIntElt -> GrpGPC, Map
NilpotentQuotient(G, c) : GrpPerm, RngIntElt -> GrpGPC, Map
NilpotentQuotient(G, c: parameters) : GrpFP, RngIntElt -> GrpGPC, Map
NilpotentQuotient(R, d) : [ AlgFPLieElt ], RngIntElt -> AlgLie, SeqEnum, SeqEnum, UserProgram
OldQuotient(A) : ModAbVar -> ModAbVar, MapModAbVar
OldQuotient(A, r) : ModAbVar, RngIntElt -> ModAbVar, MapModAbVar
PrimitiveQuotient(G) : GrpPerm -> GrpPerm, Hom, GrpPerm
PrintQuotient(SQP) : SQProc ->
Quotient(C, K) : CosetGeom, GrpPerm -> CosetGeom
Quotient(H2, H1) : HomModAbVar, HomModAbVar -> GrpAb, Map, Map
Quotient(A, G) : ModAbVar, ModAbVarSubGrp -> ModAbVar, MapModAbVar
Quotient(G) : ModAbVarSubGrp -> ModAbVar, MapModAbVar, MapModAbVar
QuotientMap(Q1, Q2) : QuadBin, QuadBin -> Map
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFPOld, AlgFPOld -> [AlgMatElt], [ModTupFldElt], [AlgFPEltOld]
QuotientModule(I) : RngMPol -> ModMPol
QuotientModuleAction(G, S) : GrpMat -> Map, GrpMat
QuotientModuleImage(G, S) : GrpMat -> GrpMat
QuotientRelations(M) : ModMPol -> [ ModMPol ]
QuotientRing(R, I) : RngDiff, RngMPol -> RngDiff, Map
RadicalQuotient(G) : GrpMat -> GrpPerm, Hom(Grp), GrpMat
RadicalQuotient(G) : GrpPerm -> GrpPerm, Hom(GrpPerm), GrpPerm
SimpleQuotientAlgebras(A) : AlgMat -> Rec
SimpleQuotientProcess(F, deg1, deg2, ord1, ord2: parameters) : GrpFP, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Rec
SocleQuotient(G) : GrpPerm -> GrpPerm, Hom, GrpPerm
SolubleQuotient(G) : Grp -> GrpPC, Map
SolubleQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
SolubleQuotientProcess(F : parameters): GrpFP -> SQProc
SolvableQuotient(G): GrpMat -> GrpPC, Map
SolvableQuotient(G): GrpPerm, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
SolvableQuotient(G : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
SolvableQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
TransitiveQuotient(G) : GrpPerm -> GrpPerm, Hom, GrpPerm
UnramifiedQuotientRing(K, k) : FldFin, RngIntElt -> Rng
f div g : RngMPolElt, RngMPolElt -> RngMPolElt
pAdicQuotientRing(p, k) : RngIntElt, RngIntElt -> RngPadRes
AlgFP_Quotient (Example H74E10)
Graph_Quotient (Example H117E10)
GrpMatGen_Quotient (Example H20E15)
GrpPerm_Quotient (Example H19E21)
Grp_Quotient (Example H18E7)
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