<html><head><title>The GAP 4 Reference Manual - Index N</title></head> <body text="#000000" bgcolor="#ffffff"> <h1>The <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 Reference Manual - Index N</h1> <p> <a href="theindex.htm">_</A> <a href="indxA.htm">A</A> <a href="indxB.htm">B</A> <a href="indxC.htm">C</A> <a href="indxD.htm">D</A> <a href="indxE.htm">E</A> <a href="indxF.htm">F</A> <a href="indxG.htm">G</A> <a href="indxH.htm">H</A> <a href="indxI.htm">I</A> <a href="indxJ.htm">J</A> <a href="indxK.htm">K</A> <a href="indxL.htm">L</A> <a href="indxM.htm">M</A> <a href="indxN.htm">N</A> <a href="indxO.htm">O</A> <a href="indxP.htm">P</A> <a href="indxQ.htm">Q</A> <a href="indxR.htm">R</A> <a href="indxS.htm">S</A> <a href="indxT.htm">T</A> <a href="indxU.htm">U</A> <a href="indxV.htm">V</A> <a href="indxW.htm">W</A> <a href="indxX.htm">X</A> <a href="indxY.htm">Y</A> <a href="indxZ.htm">Z</A> <dt>n_k <a href="CHAP018.htm#I31">18.4</a> <dt>Name <a href="CHAP012.htm#SSEC008.2">12.8.2</a> <dt>NameFunction <a href="CHAP005.htm#SSEC001.1">5.1.1</a> <dt>NameRNam <a href="CHAP027.htm#SSEC006.1">27.6.1</a> <dt>NamesFilter <a href="CHAP013.htm#SSEC002.2">13.2.2</a> <dt>NamesGVars <a href="CHAP004.htm#SSEC009.8">4.9.8</a> <dt>NamesLocalVariablesFunction <a href="CHAP005.htm#SSEC001.3">5.1.3</a> <dt>NamesOfFusionSources <a href="CHAP071.htm#SSEC002.5">71.2.5</a> <dt>NamesSystemGVars <a href="CHAP004.htm#SSEC009.9">4.9.9</a> <dt>NamesUserGVars <a href="CHAP004.htm#SSEC009.10">4.9.10</a> <dt>Natural Embeddings related to Magma Rings <a href="CHAP063.htm#SECT003">63.3</a> <dt>NaturalCharacter <a href="CHAP070.htm#SSEC007.2">70.7.2</a> <dt>NaturalHomomorphismByGenerators <a href="CHAP031.htm#SSEC007.3">31.7.3</a> <dt>NaturalHomomorphismByIdeal <a href="CHAP060.htm#SSEC009.7">60.9.7</a> <dt>NaturalHomomorphismByNormalSubgroup <a href="CHAP037.htm#SSEC018.1">37.18.1</a> <dt>NaturalHomomorphismByNormalSubgroupNC <a href="CHAP037.htm#SSEC018.1">37.18.1</a> <dt>NaturalHomomorphismBySubAlgebraModule <a href="CHAP060.htm#SSEC010.22">60.10.22</a> <dt>NaturalHomomorphismBySubspace <a href="CHAP059.htm#SSEC009.4">59.9.4</a> <dt>NearAdditiveGroup <a href="CHAP053.htm#SSEC002.3">53.2.3</a> <dt>NearAdditiveGroupByGenerators <a href="CHAP053.htm#SSEC002.6">53.2.6</a> <dt>NearAdditiveMagma <a href="CHAP053.htm#SSEC002.1">53.2.1</a> <dt>NearAdditiveMagmaByGenerators <a href="CHAP053.htm#SSEC002.4">53.2.4</a> <dt>NearAdditiveMagmaWithZero <a href="CHAP053.htm#SSEC002.2">53.2.2</a> <dt>NearAdditiveMagmaWithZeroByGenerators <a href="CHAP053.htm#SSEC002.5">53.2.5</a> <dt>NearlyCharacterTablesFamily <a href="CHAP069.htm#SSEC004.3">69.4.3</a> <dt>negative number <a href="CHAP004.htm#SSEC012.1">4.12.1</a> <dt>NegativeRoots <a href="CHAP061.htm#SSEC007.8">61.7.8</a> <dt>NegativeRootVectors <a href="CHAP061.htm#SSEC007.10">61.7.10</a> <dt>NestingDepthA <a href="CHAP021.htm#SSEC012.4">21.12.4</a> <dt>NestingDepthM <a href="CHAP021.htm#SSEC012.5">21.12.5</a> <dt>New Presentations and Presentations for Subgroups <a href="CHAP045.htm#SECT011">45.11</a> <dt>NewInfoClass <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>newline <a href="CHAP004.htm#I3">4.4</a> <dt>newline character <a href="CHAP026.htm#I6">26.1</a> <dt>NewmanInfinityCriterion <a href="CHAP045.htm#SSEC015.1">45.15.1</a> <dt>NextIterator <a href="CHAP028.htm#SSEC007.5">28.7.5</a> <dt>NextPrimeInt <a href="CHAP014.htm#SSEC003.4">14.3.4</a> <dt>NF <a href="CHAP058.htm#I1">58.1</a> <dt>Nice Monomorphisms <a href="CHAP038.htm#SECT005">38.5</a> <dt>NiceBasis <a href="CHAP059.htm#SSEC010.4">59.10.4</a> <dt>NiceBasisFiltersInfo <a href="CHAP059.htm#SSEC011.2">59.11.2</a> <dt>NiceFreeLeftModule <a href="CHAP059.htm#SSEC010.1">59.10.1</a> <dt>NiceFreeLeftModuleInfo <a href="CHAP059.htm#SSEC010.3">59.10.3</a> <dt>NiceMonomorphism <a href="CHAP038.htm#SSEC005.2">38.5.2</a> <dt>NiceMonomorphismAutomGroup <a href="CHAP038.htm#SSEC008.2">38.8.2</a> <dt>NiceObject <a href="CHAP038.htm#SSEC005.3">38.5.3</a> <dt>NiceVector <a href="CHAP059.htm#SSEC010.2">59.10.2</a> <dt>NilpotencyClassOfGroup <a href="CHAP037.htm#SSEC015.4">37.15.4</a> <dt>NilpotentQuotientOfFpLieAlgebra <a href="CHAP061.htm#SSEC011.2">61.11.2</a> <dt>NK <a href="CHAP018.htm#SSEC004.5">18.4.5</a> <dt>NOAUTO <a href="CHAP074.htm#I3">74.2</a> <dt>NonabelianExteriorSquare <a href="CHAP037.htm#SSEC024.5">37.24.5</a> <dt>NonnegativeIntegers <a href="CHAP014.htm#">14.0</a> <dt>NonnegIntScalarProducts <a href="CHAP071.htm#SSEC003.15">71.3.15</a> <a href="CHAP071.htm#I9">71.3</a> <dt>NonNilpotentElement <a href="CHAP061.htm#SSEC009.6">61.9.6</a> <dt>Norm <a href="CHAP056.htm#SSEC003.4">56.3.4</a> <dt>Norm, of character <a href="CHAP070.htm#SSEC008.7">70.8.7</a> <dt>Normal Forms of Integer Matrices - Name Changes <a href="CHAP075.htm#SECT003">75.3</a> <dt>Normal Forms over the Integers <a href="CHAP025.htm#SECT002">25.2</a> <dt>Normal Structure <a href="CHAP037.htm#SECT011">37.11</a> <dt>NormalBase <a href="CHAP056.htm#SSEC003.7">56.3.7</a> <dt>NormalClosure <a href="CHAP037.htm#SSEC011.4">37.11.4</a> <dt>NormalFormIntMat <a href="CHAP025.htm#SSEC002.9">25.2.9</a> <dt>NormalIntersection <a href="CHAP037.htm#SSEC011.5">37.11.5</a> <dt>NormalizedElementOfMagmaRingModuloRelations <a href="CHAP063.htm#SSEC004.3">63.4.3</a> <dt>NormalizedWhitespace <a href="CHAP026.htm#SSEC005.9">26.5.9</a> <dt>Normalizer <a href="CHAP037.htm#SSEC011.1">37.11.1</a> <dt>normalizer <a href="CHAP037.htm#I6">37.11</a> <dt>NormalizerInGLnZ <a href="CHAP042.htm#SSEC005.7">42.5.7</a> <dt>NormalizerInGLnZBravaisGroup <a href="CHAP042.htm#SSEC005.14">42.5.14</a> <dt>NormalizersTom <a href="CHAP068.htm#SSEC009.4">68.9.4</a> <dt>NormalizerTom <a href="CHAP068.htm#SSEC009.4">68.9.4</a> <dt>NormalizeWhitespace <a href="CHAP026.htm#SSEC005.8">26.5.8</a> <dt>NormalSeriesByPcgs <a href="CHAP043.htm#SSEC011.18">43.11.18</a> <dt>NormalSubgroupClasses <a href="CHAP069.htm#SSEC021.3">69.21.3</a> <dt>NormalSubgroupClassesInfo <a href="CHAP069.htm#SSEC021.1">69.21.1</a> <dt>NormalSubgroups <a href="CHAP037.htm#SSEC019.7">37.19.7</a> <dt>NormedRowVector <a href="CHAP023.htm#SSEC001.6">23.1.6</a> <dt>NormedRowVectors <a href="CHAP059.htm#SSEC008.11">59.8.11</a> <dt>NormedVectors <a href="CHAP075.htm#I22">75.4</a> <dt>not <a href="CHAP020.htm#SSEC003.4">20.3.4</a> <dt>NrArrangements <a href="CHAP017.htm#SSEC002.4">17.2.4</a> <dt>NrBasisVectors <a href="CHAP059.htm#SSEC007.3">59.7.3</a> <dt>NrCombinations <a href="CHAP017.htm#SSEC002.2">17.2.2</a> <dt>NrConjugacyClasses <a href="CHAP037.htm#SSEC010.5">37.10.5</a> <dt>NrConjugacyClasses, for character tables <a href="CHAP069.htm#I25">69.8</a> <dt>NrConjugacyClassesGL <a href="CHAP048.htm#SSEC003.1">48.3.1</a> <dt>NrConjugacyClassesGU <a href="CHAP048.htm#SSEC003.1">48.3.1</a> <dt>NrConjugacyClassesPGL <a href="CHAP048.htm#SSEC003.1">48.3.1</a> <dt>NrConjugacyClassesPGU <a href="CHAP048.htm#SSEC003.1">48.3.1</a> <dt>NrConjugacyClassesPSL <a href="CHAP048.htm#SSEC003.1">48.3.1</a> <dt>NrConjugacyClassesPSU <a href="CHAP048.htm#SSEC003.1">48.3.1</a> <dt>NrConjugacyClassesSL <a href="CHAP048.htm#SSEC003.1">48.3.1</a> <dt>NrConjugacyClassesSLIsogeneous <a href="CHAP048.htm#SSEC003.1">48.3.1</a> <dt>NrConjugacyClassesSU <a href="CHAP048.htm#SSEC003.1">48.3.1</a> <dt>NrConjugacyClassesSUIsogeneous <a href="CHAP048.htm#SSEC003.1">48.3.1</a> <dt>NrDerangements <a href="CHAP017.htm#SSEC002.12">17.2.12</a> <dt>NrInputsOfStraightLineProgram <a href="CHAP035.htm#SSEC008.4">35.8.4</a> <dt>NrMovedPoints <a href="CHAP040.htm#SSEC002.4">40.2.4</a> <dt>NrOrderedPartitions <a href="CHAP017.htm#SSEC002.18">17.2.18</a> <dt>NrPartitions <a href="CHAP017.htm#SSEC002.16">17.2.16</a> <dt>NrPartitionsSet <a href="CHAP017.htm#SSEC002.14">17.2.14</a> <dt>NrPartitionTuples <a href="CHAP017.htm#SSEC002.27">17.2.27</a> <dt>NrPermutationsList <a href="CHAP017.htm#SSEC002.10">17.2.10</a> <dt>NrPolyhedralSubgroups <a href="CHAP069.htm#SSEC010.5">69.10.5</a> <dt>NrPrimitiveGroups <a href="CHAP048.htm#SSEC009.2">48.9.2</a> <dt>NrRestrictedPartitions <a href="CHAP017.htm#SSEC002.22">17.2.22</a> <dt>NrSubsTom <a href="CHAP068.htm#SSEC007.2">68.7.2</a> <dt>NrTransitiveGroups <a href="CHAP048.htm#SSEC006.2">48.6.2</a> <dt>NrTuples <a href="CHAP017.htm#SSEC002.8">17.2.8</a> <dt>NrUnorderedTuples <a href="CHAP017.htm#SSEC002.6">17.2.6</a> <dt>NullAlgebra <a href="CHAP060.htm#SSEC004.5">60.4.5</a> <dt>NullMat <a href="CHAP024.htm#SSEC004.2">24.4.2</a> <dt>NullspaceIntMat <a href="CHAP025.htm#SSEC001.1">25.1.1</a> <dt>NullspaceMat <a href="CHAP024.htm#SSEC006.3">24.6.3</a> <dt>NullspaceMatDestructive <a href="CHAP024.htm#SSEC006.4">24.6.4</a> <dt>NullspaceModQ <a href="CHAP024.htm#SSEC013.6">24.13.6</a> <dt>Number <a href="CHAP021.htm#SSEC020.19">21.20.19</a> <dt>number field <a href="CHAP058.htm#I4">58.2</a> <dt>number fields, Galois group <a href="CHAP058.htm#I9">58.4</a> <dt>Number Theory <a href="CHAP015.htm">15.0</a> <dt>number, Bell <a href="CHAP017.htm#I2">17.1</a> <dt>number, binomial <a href="CHAP017.htm#I1">17.1</a> <dt>number, Stirling, of the first kind <a href="CHAP017.htm#I5">17.1</a> <dt>number, Stirling, of the second kind <a href="CHAP017.htm#I7">17.1</a> <dt>NumberArgumentsFunction <a href="CHAP005.htm#SSEC001.2">5.1.2</a> <dt>NumberFFVector <a href="CHAP023.htm#SSEC002.2">23.2.2</a> <dt>NumberIrreducibleSolvableGroups <a href="CHAP048.htm#SSEC011.2">48.11.2</a> <dt>NumberPerfectGroups <a href="CHAP048.htm#SSEC008.4">48.8.4</a> <dt>NumberPerfectLibraryGroups <a href="CHAP048.htm#SSEC008.5">48.8.5</a> <dt>NumberSmallGroups <a href="CHAP048.htm#SSEC007.4">48.7.4</a> <dt>NumberSyllables <a href="CHAP035.htm#SSEC005.1">35.5.1</a> <dt>numerator, of a rational <a href="CHAP016.htm#I1">16.1</a> <dt>NumeratorOfModuloPcgs <a href="CHAP043.htm#SSEC009.3">43.9.3</a> <dt>NumeratorOfRationalFunction <a href="CHAP064.htm#SSEC004.2">64.4.2</a> <dt>NumeratorRat <a href="CHAP016.htm#SSEC001.4">16.1.4</a> <dt>Numerical Group Attributes <a href="CHAP037.htm#SECT016">37.16</a> </dl><p> [<a href="../index.htm">Top</a>] [<a href="chapters.htm">Up</a>]<p> <P> <font face="Gill Sans,Helvetica,Arial">GAP 4 manual<br>December 2008 </font></body></html>