BigO(x^n) : RngSerElt -> RngIntElt
Omega(G, i) : GrpAb, RngIntElt -> GrpAb
Omega(G, i) : GrpPC, RngIntElt -> GrpPC
One(B) : MagForm -> MagFormElt
Arithmetic with Elements (ABELIAN GROUPS)
Arithmetic with Elements (BLACKBOX GROUPS)
Basic Operations (FINITELY PRESENTED GROUPS)
Basic Operations (MATRIX GROUPS)
Basic Operations (PERMUTATION GROUPS)
Basic Operations (VECTOR SPACES)
Basic Operations on Ideals (MULTIVARIATE POLYNOMIAL RINGS)
Boolean Operators (STATEMENTS AND EXPRESSIONS)
Constructing New Codes from Old (ERROR-CORRECTING CODES)
Coset Spaces: Elementary Operations (FINITELY PRESENTED GROUPS)
Element Operations (FINITE FIELDS)
Element Operations (FUNCTION FIELDS AND THEIR ORDERS)
Element Operations (MULTIVARIATE POLYNOMIAL RINGS)
Element Operations (NUMBER FIELDS AND THEIR ORDERS)
Element Operations (POWER SERIES AND LAURENT SERIES)
Element Operations (REAL AND COMPLEX FIELDS)
Element Operations (RING OF INTEGERS)
Element Operations (SOLUBLE GROUPS)
Element Operations (THE MODULES Hom_(R)(M, N) AND End(M))
Element Operations (UNIVARIATE POLYNOMIAL RINGS)
Elementary Functions for Words (FINITELY PRESENTED GROUPS)
Elementary Operations on Codewords and Vectors (ERROR-CORRECTING CODES)
Elementary Operators for Words (FINITELY PRESENTED SEMIGROUPS)
Elements Operations (RESIDUE CLASS RINGS)
Functions for Working with a Base and Strong Generating Set (PERMUTATION GROUPS)
Functions on p-Adic Structures (LOCAL FIELDS)
General Design Constructions (INCIDENCE STRUCTURES AND DESIGNS)
General Subgroup Constructions (SOLUBLE GROUPS)
Matrix Operations (MATRIX GROUPS)
Operations on Edges and Vertices (GRAPHS)
Operations on Elements (ABELIAN GROUPS)
Operations on Elements (BLACKBOX GROUPS)
Operations on Elements of Ideals (MULTIVARIATE POLYNOMIAL RINGS)
Operations on G-Lattices (LATTICES)
Operations on Lattice Elements (LATTICES)
Operations on Mappings (MAPPINGS)
Operations on Matrix Algebras (MATRIX ALGEBRAS)
Operations on Module Elements (GENERAL MODULES)
Operations on p-adic Elements (LOCAL FIELDS)
Operations on Points (ELLIPTIC CURVES)
Operations on Points and Blocks (INCIDENCE STRUCTURES AND DESIGNS)
Operations on Points and Lines (FINITE PLANES)
Operations on Subgroup Class Posets (GROUPS)
Operations on Submodules (GENERAL MODULES)
Operations on Subspaces (VECTOR SPACES)
Operators for Elements (SOLUBLE GROUPS)
Operators on Sequences (SEQUENCES)
Set Operations (ABELIAN GROUPS)
Set Operations (BLACKBOX GROUPS)
Set Operations (SOLUBLE GROUPS)
Soluble Group Functions (MATRIX GROUPS)
Standard Constructions (GENERAL MODULES)
Standard Constructions for Graphs (GRAPHS)
Standard Subgroup Constructions (GROUPS)
Standard Subgroup Constructions (MATRIX GROUPS)
Standard Subgroup Constructions (PERMUTATION GROUPS)
String Operations on Words (FINITELY PRESENTED SEMIGROUPS)
Structure Operations (FINITE FIELDS)
Structure Operations (FUNCTION FIELDS AND THEIR ORDERS)
Structure Operations (MULTIVARIATE POLYNOMIAL RINGS)
Structure Operations (NUMBER FIELDS AND THEIR ORDERS)
Structure Operations (POWER SERIES AND LAURENT SERIES)
Structure Operations (QUADRATIC FIELDS)
Structure Operations (RATIONAL FIELD)
Structure Operations (RATIONAL FUNCTION FIELDS)
Structure Operations (REAL AND COMPLEX FIELDS)
Structure Operations (RESIDUE CLASS RINGS)
Structure Operations (RING OF INTEGERS)
Structure Operations (SOLUBLE GROUPS)
Structure Operations (UNIVARIATE POLYNOMIAL RINGS)
Subgroup Constructions (FINITELY PRESENTED GROUPS)
Boolean Operators (STATEMENTS AND EXPRESSIONS)
Element Operations (FINITE FIELDS)
Element Operations (FUNCTION FIELDS AND THEIR ORDERS)
Element Operations (MULTIVARIATE POLYNOMIAL RINGS)
Element Operations (NUMBER FIELDS AND THEIR ORDERS)
Element Operations (POWER SERIES AND LAURENT SERIES)
Element Operations (REAL AND COMPLEX FIELDS)
Element Operations (RING OF INTEGERS)
Element Operations (SOLUBLE GROUPS)
Element Operations (THE MODULES Hom_(R)(M, N) AND End(M))
Element Operations (UNIVARIATE POLYNOMIAL RINGS)
Elementary Functions for Words (FINITELY PRESENTED GROUPS)
Elements Operations (RESIDUE CLASS RINGS)
Matrix Operations (MATRIX GROUPS)
Operations on Elements (ABELIAN GROUPS)
Operations on Elements (BLACKBOX GROUPS)
Operations on Elements of Ideals (MULTIVARIATE POLYNOMIAL RINGS)
Operations on p-adic Elements (LOCAL FIELDS)
String Operations on Words (FINITELY PRESENTED SEMIGROUPS)
Structure Operations (REAL AND COMPLEX FIELDS)
Standard Subgroup Constructions (GROUPS)
Standard Subgroup Constructions (MATRIX GROUPS)
Standard Subgroup Constructions (PERMUTATION GROUPS)
Subgroup Constructions (FINITELY PRESENTED GROUPS)
HMod_Operations (Example H43E7)
RMod_Operations (Example H42E15)
Module Operations (MODULES OVER AFFINE ALGEBRAS)
Operations on Affine Rings (MULTIVARIATE POLYNOMIAL RINGS)
Operations on File Objects (INPUT AND OUTPUT)
Operations on Lie Algebras (LIE ALGEBRAS)
Elementary Operations (FINITE PLANES)
Operations on Algebras and Subalgebras (ALGEBRAS)
Operations on Associative Algebras (ASSOCIATIVE ALGEBRAS)
Operations on Associative Algebras and their Elements (ASSOCIATIVE ALGEBRAS)
Operations on Elements (ALGEBRAS)
Operations on Elements (ASSOCIATIVE ALGEBRAS)
Operations on Elements (GROUP ALGEBRAS)
Operations on Elements of an Algebra (ALGEBRAS)
Operations on Group Algebras (GROUP ALGEBRAS)
Operations on Group Algebras and their Subalgebras (GROUP ALGEBRAS)
Operations on Subalgebras (ALGEBRAS)
Representations of Associative Algebras (ASSOCIATIVE ALGEBRAS)
Print Options (UNIVARIATE POLYNOMIAL RINGS)
Special Options (FINITE FIELDS)
Special Options (NUMBER FIELDS AND THEIR ORDERS)
Special Options (POWER SERIES AND LAURENT SERIES)
Special Options (QUADRATIC FIELDS)
x or y: BoolElt, BoolElt -> BoolElt
Orbit(G, Y, y) : GrpPerm, GSet, Elt -> GSet
Orbit(G, Y, y) : GrpPerm, GSet, Elt -> GSet
Orbit(G, Y, y) : GrpPerm, GSet, Elt -> GSet
Images, Orbits and Stabilizers (MATRIX GROUPS)
Images, Orbits and Stabilizers (PERMUTATION GROUPS)
The Homomorphism Induced by G-action on Orbits (MATRIX GROUPS)
The Homomorphism Induced by G-action on Orbits (MATRIX GROUPS)
OrbitAction(G, T) : GrpPerm, GSet -> Hom(Grp), GrpPerm, GrpPerm
OrbitClosure(G, Y, S) : GrpPerm, GSet, { Elt } -> GSet
OrbitImage(G, T) : GrpPerm, GSet -> GrpPerm
OrbitKernel(G, T) : GrpPerm, GSet -> GrpPerm
Orbits(A, Y) : GrpPerm, GSet -> [ GSet ]
Orbits(G, Y) : GrpPerm, GSet -> [ GSet ]
Orbits(G, Y) : GrpPerm, GSet -> [ GSet ]
Orbits(G, Y) : GrpPerm, GSet -> [ GSet ]
GrpMat_Orbits (Example H21E14)
Order(a) : AlgMatElt -> RngIntElt
Order(E): CurveEll -> RngIntElt
Order(P) : CurveEllPt -> RngIntElt
Order(E) : CurveEllSubgroup -> RngIntElt
Order(a) : FldFinElt -> RngIntElt
Order(x) : GrpAbElt -> RngIntElt
Order(g) : GrpElt -> RngIntElt
Order(G) : GrpFin -> RngIntElt
Order(G) : GrpFPElt -> RngIntElt
Order(G) : GrpMat -> RngIntElt
Order(g) : GrpMatElt -> RngIntElt
Order(x) : GrpPCElt -> RngIntElt
Order(G) : GrpPerm -> RngIntElt
Order(g) : GrpPermElt -> RngIntElt
Order(G: parameters) : GrpFP -> RngIntElt
Order(P) : Process(pQuot) -> RngIntElt
Order(I) : RngFunOrdIdl -> RngFunOrd
Order(a) : RngIntResElt -> RngIntElt
Order(O, T, d) : RngOrd, AlgMatElt, RngIntElt -> RngOrd
Order(I) : RngOrdIdl -> RngOrd
Order(e) : SubGrpLatElt -> RngIntElt
GrpPerm_Order (Example H20E10)
Creation of Orders in Function Fields (FUNCTION FIELDS AND THEIR ORDERS)
Creation of Orders in Number Fields (NUMBER FIELDS AND THEIR ORDERS)
Functions Relating to Group Order (ABELIAN GROUPS)
Functions Relating to Group Order (SOLUBLE GROUPS)
Log, Order and Roots (FINITE FIELDS)
Monomial Orders (MULTIVARIATE POLYNOMIAL RINGS)
Order and Index Functions (GROUPS)
Order and Index Functions (MATRIX GROUPS)
Order and Index Functions (PERMUTATION GROUPS)
Order of an Element (ABELIAN GROUPS)
Testing Order Relations (SEQUENCES)
Order and Index Functions (MATRIX GROUPS)
Order and Index Functions (PERMUTATION GROUPS)
Orthogonalize(X) : ModMatRngElt -> ModMatRngElt, AlgMatElt, RngIntElt
Lat_Orthogonalize (Example H45E15)
Elementary Functions for Elements (FINITELY PRESENTED ALGEBRAS)
Ideal Arithmetic (RESIDUE CLASS RINGS)
Operations on Submodules (GENERAL MODULES)
Other Bounds (ERROR-CORRECTING CODES)
Other Element Functions (QUADRATIC FIELDS)
Other Element Functions (VALUATION RINGS)
Other Functions (LOCAL FIELDS)
Other Functions (NUMBER FIELDS AND THEIR ORDERS)
Other Functions for Invariant Rings (INVARIANT RINGS OF FINITE GROUPS)
Other Functions on Ideals (UNIVARIATE POLYNOMIAL RINGS)
Other Functions on Quotients (UNIVARIATE POLYNOMIAL RINGS)
Other Ideal Functions (FUNCTION FIELDS AND THEIR ORDERS)
Other Ideal Operations (NUMBER FIELDS AND THEIR ORDERS)
Other Operations (MODULES OVER AFFINE ALGEBRAS)
Other Point and Line Functions (FINITE PLANES)
Other Predicates (REAL AND COMPLEX FIELDS)
Other properties of Lie Algebras (LIE ALGEBRAS)
Other Ring Constructions (INTRODUCTION [RINGS AND FIELDS])
Other Structural Properties (ERROR-CORRECTING CODES)
Other Structure Functions (FUNCTION FIELDS AND THEIR ORDERS)
Other Structure Functions (REAL AND COMPLEX FIELDS)
Properties of Elements (MATRIX ALGEBRAS)
The print statement (OVERVIEW)
OverDimension(M) : ModTupRng -> RngIntElt
Overview (INTRODUCTION [MODULES AND LATTICES])
Overview (INTRODUCTION [RINGS AND FIELDS])
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