\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