\letter {} /, 6--7 =, 6--6 \letter A accessing nearring elements, \indexit{2--4} accessing the information about a nearring stored in the library, \indexit{3--2} `ActionOfNearRingOnNGroup', 8--4 `AllExceptionalNearFields', 10--2 `AllLibraryNearRings', 3--1 `AllLibraryNearRingsWithOne', 3--1 `AsEndoMapping', 4--1 `AsExplicitMultiplicationNearRing', 5--5 `AsGroupGeneralMappingByImages', 4--2 `AsGroupReductElement', 2--4 `AsList', near ring ideals, 6--5 \sub near rings, 2--5 `AsNearRingElement', 2--4 `AsPermGroup', 1--7 `AsSortedList', near ring ideals, 6--5 \sub near rings, 2--5 `AsTransformationNearRing', 5--5 `AutomorphismNearRing', 5--3 `Automorphisms', 1--3 \sub near rings, 2--7 \letter B `BlockIntersectionNumbers', 11--4 `BlockIntersectionNumbersK', 11--4 `BlocksIncidentPoints', 11--5 `BlocksOfDesign', 11--3 \letter C `CentralizerNearRing', 5--3 `ClosureNearRingIdeal', 6--6 `ClosureNearRingLeftIdeal', 6--6 `ClosureNearRingRightIdeal', 6--6 commutators, \indexit{6--7} comparision of ideals, \indexit{6--6} `CompatibleFunctionNearRing', 5--3 `CongruenceNoetherianQuotient', for nearrings of polynomial functions, 5--6 `Congruence\-Noetherian\-Quotient\-For\-Inner\-Automorphism\-Near\-Rings ', for inner automorphism nearrings, 5--6 `ConstantEndoMapping', 4--2 constructing a design, \indexit{11--1} constructing subnearrings, \indexit{2--8} constructing transformation nearrings, \indexit{5--1} construction of n-groups, \indexit{8--1} construction of nearring ideals, \indexit{6--1} construction of nearrings, \indexit{2--2} coset representatives, \indexit{1--6} \letter D defining a nearring multiplication, \indexit{2--1} defining endo mappings, \indexit{4--1} `DegreeOfIrredFpfRep2', 9--3 `DegreeOfIrredFpfRep3', 9--3 `DegreeOfIrredFpfRep4', 9--3 `DegreeOfIrredFpfRepCyclic', 9--2 `DegreeOfIrredFpfRepMetacyclic', 9--2 `DesignFromFerreroPair', 11--2 `DesignFromIncidenceMat', 11--1 `DesignFromPlanarNearRing', 11--1 `DesignFromPointsAndBlocks', 11--1 `DesignFromWdNearRing', 11--2 `DesignParameter', 11--3 `DicksonNearFields', 10--1 dickson nearfields, \indexit{10--1} dickson numbers, \indexit{10--1} `DirectProductNearRing', 2--3 direct products of nearrings, \indexit{2--3} `DistributiveElements', 2--10 distributivity in a nearring, \indexit{2--10} `Distributors', 2--10 \letter E elements of a nearring with special properties, \indexit{2--11} `EndoMappingByFunction', 4--1 `EndoMappingByPositionList ', 4--1 `EndomorphismNearRing', 5--2 `Endomorphisms', 1--3 \sub near rings, 2--7 `Enumerator', near ring ideals, 6--5 \sub near rings, 2--5 `ExceptionalNearFields', 10--2 exceptional nearfields, \indexit{10--2} `ExplicitMultiplicationNearRing', 2--2 `ExplicitMultiplicationNearRingNC', 2--2 extracting nearrings from the library, \indexit{3--1} \letter F `FactorNearRing', 6--7 factor nearrings, \indexit{6--7} fixed-point-free automorphism groups, \indexit{9--6} fixed-point-free automorphism groups and frobenius groups, \indexit{9--1} fixed-point-free representations, \indexit{9--2} `FpfAutomorphismGroups2', 9--8 `FpfAutomorphismGroups3', 9--8 `FpfAutomorphismGroups4', 9--9 `FpfAutomorphismGroupsCyclic', 9--6 `FpfAutomorphismGroupsMaxSize', 9--1 `FpfAutomorphismGroupsMetacyclic', 9--7 `FpfRepresentations2', 9--4 `FpfRepresentations3', 9--5 `FpfRepresentations4', 9--6 `FpfRepresentationsCyclic', 9--3 `FpfRepresentationsMetacyclic', 9--4 `FrobeniusGroup', 9--1 functions for n-groups, \indexit{8--3} \letter G `Gamma', 5--5 `GeneratorsOfNearRing', 2--6 `GeneratorsOfNearRingIdeal', 6--4 generators of nearring ideals, \indexit{6--4} `GeneratorsOfNearRingLeftIdeal', 6--4 `GeneratorsOfNearRingRightIdeal', 6--5 `GraphicIdealLattice', 7--1 `GraphOfMapping', 4--4 group automorphisms, \indexit{1--3} group endomorphisms, \indexit{1--3} `GroupReduct', 2--7 \sub near ring ideals, 6--6 group reducts of ideals, \indexit{6--6} \letter I ideals of n-groups, \indexit{8--4} `IdempotentElements', 2--11 identifying nearrings, \indexit{3--2} `Identity', 2--9 `IdentityEndoMapping', 4--2 identity of a nearring, \indexit{2--9} `IdLibraryNearRing', 3--2 `IdLibraryNearRingWithOne', 3--2 `IdTWGroup', 1--1 in, 6--5 `IncidenceMat', 11--3 `InnerAutomorphismNearRing', 5--3 `InnerAutomorphisms', 1--4 inner automorphisms of a group, \indexit{1--4} `Intersection', 6--6 \sub for nearring ideals, 6--6 \sub for nearrings, 2--8 intersection of nearrings, \indexit{2--8} invariant subgroups, \indexit{1--5} `InvariantSubNearRings', 2--8 invariant subnearrings, \indexit{2--8} `Is1AffineComplete', 5--3 `Is2TameNGroup', 8--5 `Is3TameNGroup', 8--5 `IsAbelianNearRing', 2--12 `IsAbstractAffineNearRing', 2--12 `IsBooleanNearRing', 2--12 `IsCharacteristicInParent', 1--5 `IsCharacteristicSubgroup', 1--5 `IsCircularDesign', 11--4 `IsCommutative', 2--13 `IsCompatible', 8--5 `IsCompatibleEndoMapping', 5--3 `IsConstantEndoMapping', 4--3 `IsDgNearRing', 2--13 `IsDistributiveEndoMapping', 4--3 `IsDistributiveNearRing', 2--11 `IsEndoMapping', 4--2 `IsExplicitMultiplicationNearRing', 2--2 `IsFpfAutomorphismGroup', 9--1 `IsFpfRepresentation', 9--2 `IsFullinvariant', 1--5 `IsFullinvariantInParent', 1--5 `IsFullTransformationNearRing', 5--2 `IsIdentityEndoMapping', 4--3 `IsIntegralNearRing', 2--14 `IsInvariantUnderMaps', 1--5 `IsIsomorphicGroup', 1--4 `IsIsomorphicNearRing', 2--7 `IsLibraryNearRing', 3--2 islibrarynearring, \indexit{3--2} `IsMaximalNearRingIdeal', 6--4 `IsMonogenic', 8--5 `IsN0SimpleNGroup', 8--5 `IsNearField', 2--14 `IsNearRing', 2--2 `IsNearRingIdeal', 6--3 `IsNearRingLeftIdeal', 6--3 `IsNearRingMultiplication', 2--1 `IsNearRingRightIdeal', 6--3 `IsNearRingUnit', 2--10 `IsNearRingWithOne', 2--9 `IsNGroup', 8--3 `IsNIdeal', 8--5 `IsNilNearRing', 2--13 `IsNilpotentFreeNearRing', 2--13 `IsNilpotentNearRing', 2--13 `IsNRI', 6--3 `IsNSubgroup', 8--4 isomorphic groups, \indexit{1--4} isomorphic nearrings, \indexit{2--7} `IsPairOfDicksonNumbers', 10--1 `IsPlanarNearRing', 2--15 `IsPointIncidentBlock', 11--4 `IsPrimeNearRing', 2--14 `IsPrimeNearRingIdeal', 6--4 `IsQuasiregularNearRing', 2--14 `IsRegularNearRing', 2--14 `IsSimpleNearRing', 6--7 `IsSimpleNGroup', 8--5 `IsStronglyMonogenic', 8--5 `IsSubgroupNearRingLeftIdeal', 6--3 `IsSubgroupNearRingRightIdeal', 6--4 `IsTameNGroup', 8--5 `IsWdNearRing', 2--15 \letter L `LibraryNearRing', 3--1 `LibraryNearRingInfo', 3--2 `LibraryNearRingWithOne', 3--1 `LocalInterpolationNearRing', 5--4 \letter M `MapNearRing', 5--2 membership of an ideal, \indexit{6--5} modified symbols for the operation tables, \indexit{2--4} \letter N n-subgroups, \indexit{8--4} n0-subgroups, \indexit{8--4} `N0Subgroups', 8--4 near-ring ideal elements, \indexit{6--5} `NearRingActingOnNGroup', 8--3 nearring automorphisms, \indexit{2--7} `NearRingCommutator', 6--7 nearring elements, \indexit{2--5} nearring endomorphisms, \indexit{2--7} nearring generators, \indexit{2--6} `NearRingIdealByGenerators', 6--1 `NearRingIdealBySubgroupNC', 6--2 `NearRingIdeals', 6--2 `NearRingLeftIdealByGenerators', 6--1 `NearRingLeftIdealBySubgroupNC', 6--2 `NearRingLeftIdeals', 6--2 `NearRingMultiplicationByOperationTable', 2--1 nearring radicals, \indexit{8--6} `NearRingRightIdealByGenerators', 6--1 `NearRingRightIdealBySubgroupNC', 6--2 `NearRingRightIdeals', 6--3 nearrings of transformations, \indexit{5--2} `NearRingUnits', 2--10 `NGroup', 8--1 `NGroupByApplication', 8--2 `NGroupByNearRingMultiplication', 8--1 `NGroupByRightIdealFactor', 8--2 nicer ways to print a mapping, \indexit{4--4} `NIdeal', 8--4 `NIdeals', 8--4 `NilpotencyClass', 1--6 nilpotency class, \indexit{1--6} `NilpotentElements', 2--11 `NoetherianQuotient', 8--5 \sub for transformation nearrings, 5--5 noetherian quotients, \indexit{8--5} noetherian quotients for transformation nearrings, \indexit{5--5} `Nontrivial\-Representatives\-Mod\-Normal\-Subgroup', 1--6 normal subgroups generated by a single element, \indexit{1--4} `NSubgroup', 8--4 `NSubgroups', 8--4 `NumberLibraryNearRings', 3--1 `NumberLibraryNearRingsWithOne', 3--1 `NumberOfDicksonNearFields', 10--2 `NuRadical', 8--6 `NuRadicals', 8--6 \letter O `One', 2--9 `OneGeneratedNormalSubgroups', 1--4 operations for endo mappings, \indexit{4--3} operations with ideals, \indexit{6--6} operation tables for groups, \indexit{1--2} operation tables for nearrings, \indexit{2--3} operation tables of n-groups, \indexit{8--2} `OrbitRepresentativesForPlanarNearRing', 10--3 other useful functions for groups, \indexit{1--7} \letter P `PlanarNearRing', 10--3 planar nearrings, \indexit{10--3} `PointsIncidentBlocks', 11--4 `PointsOfDesign', 11--2 `PolynomialNearRing', 5--2 predefined groups, \indexit{1--1} `PrintAsTerm', 4--4 `PrintIncidenceMat', 11--3 `PrintTable', 1--2 \sub for N-groups, 8--2 \sub near rings, 2--3 properties of a design, \indexit{11--2} properties of endo mappings, \indexit{4--3} \letter Q `QuasiregularElements', 2--12 \letter R `Random', near ring element, 2--6 \sub near ring ideal element, 6--5 random ideal elements, \indexit{6--5} random nearring elements, \indexit{2--6} `RegularElements', 2--12 `RepresentativesModNormalSubgroup', 1--6 `RestrictedEndomorphismNearRing', 5--4 \letter S `ScottLength', 1--6 scott length, \indexit{1--6} `SetSymbols', 2--4 `SetSymbolsSupervised', 2--4 simple nearrings, \indexit{6--7} `Size', near ring ideals, 6--6 \sub near rings, 2--6 size of a nearring, \indexit{2--6} size of ideals, \indexit{6--6} special ideal properties, \indexit{6--4} special properties of a nearring, \indexit{2--12} special properties of n-groups, \indexit{8--5} `Subgroups', 1--4 subgroups, \indexit{1--2} subgroups of a group, \indexit{1--4} `SubNearRingBySubgroupNC', 2--8 `SubNearRings', 2--7 subnearrings, \indexit{2--7} `Symbols', 2--4 \letter T testing for ideal properties, \indexit{6--3} the additive group of a nearring, \indexit{2--7} the group a transformation nearring acts on, \indexit{5--5} `TransformationNearRing', 5--2 `Transformation\-Near\-Ring\-By\-Additive\-Generators', 5--1 `TransformationNearRingByGenerators', 5--1 transformation nearrings and other nearrings, \indexit{5--5} `TWGroup', 1--1 `TypeOfNGroup', 8--5 \letter U units of a nearring, \indexit{2--10} \letter W `WdNearRing', 10--4 weakly divisible nearrings, \indexit{10--4} working with the points and blocks of a design, \indexit{11--4} \letter Z `ZeroSymmetricCompatibleFunctionNearRing', 5--3 `ZeroSymmetricElements', 2--11 zerosymmetric mappings, \indexit{5--7} `ZeroSymmetricPart', for transformation nearrings, 5--7