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<html><head><title>The GAP 4 Manual - Full Index E</title></head><body bgcolor=ffffff><h1>The GAP 4 Manual - Full Index E</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><ul>
<dt>E <a href="ref/CHAP017.htm#I5">R 17.1</a>
<dt>EB <a href="ref/CHAP017.htm#I31">R 17.4</a>
<dt>EC <a href="ref/CHAP017.htm#I32">R 17.4</a>
<dt>ED <a href="ref/CHAP017.htm#I33">R 17.4</a>
<dt>EE <a href="ref/CHAP017.htm#I34">R 17.4</a>
<dt>EF <a href="ref/CHAP017.htm#I35">R 17.4</a>
<dt>EG <a href="ref/CHAP017.htm#I36">R 17.4</a>
<dt>EH <a href="ref/CHAP017.htm#I37">R 17.4</a>
<dt>EI <a href="ref/CHAP017.htm#I40">R 17.4</a>
<dt>EJ <a href="ref/CHAP017.htm#I64">R 17.4</a>
<dt>EK <a href="ref/CHAP017.htm#I63">R 17.4</a>
<dt>EL <a href="ref/CHAP017.htm#I62">R 17.4</a>
<dt>EM <a href="ref/CHAP017.htm#I61">R 17.4</a>
<dt>ER <a href="ref/CHAP017.htm#I41">R 17.4</a>
<dt>ES <a href="ref/CHAP017.htm#I56">R 17.4</a>
<dt>ET <a href="ref/CHAP017.htm#I55">R 17.4</a>
<dt>EU <a href="ref/CHAP017.htm#I54">R 17.4</a>
<dt>EV <a href="ref/CHAP017.htm#I53">R 17.4</a>
<dt>EW <a href="ref/CHAP017.htm#I52">R 17.4</a>
<dt>EX <a href="ref/CHAP017.htm#I51">R 17.4</a>
<dt>EY <a href="ref/CHAP017.htm#I50">R 17.4</a>
<dt>Earns <a href="ref/CHAP036.htm#I62">R 36.8</a>
<dt>Edit <a href="ref/CHAP005.htm#I33">R 5.8</a>
<dt>EggBoxOfDClass <a href="ref/CHAP046.htm#I67">R 46.5</a>
<dt>EigenvaluesChar <a href="ref/CHAP066.htm#I45">R 66.8</a>
<dt>ElementOfFpGroup <a href="ref/CHAP042.htm#I14">R 42.3</a>
<dt>ElementOfFpSemigroup <a href="ref/CHAP048.htm#I14">R 48.3</a>
<dt>ElementOfMagmaRing <a href="ref/CHAP059.htm#I13">R 59.2</a>
<dt>ElementOrdersPowerMap <a href="ref/CHAP067.htm#I7">R 67.1</a>
<dt>ElementProperty <a href="ref/CHAP038.htm#I47">R 38.10</a>
<dt>ElementaryAbelianGroup <a href="ref/CHAP045.htm#I3">R 45.1</a>
<dt>ElementaryAbelianSeries <a href="ref/CHAP034.htm#I118">R 34.16</a>
<dt>ElementaryAbelianSeriesLargeSteps <a href="ref/CHAP034.htm#I119">R 34.16</a>
<dt>ElementaryDivisorsMat <a href="ref/CHAP023.htm#I71">R 23.6</a>
<dt>Elements <a href="ref/CHAP027.htm#I24">R 27.2</a>
<dt>ElementsFamily <a href="prg/CHAP003.htm#I14">P 3.6</a>
<dt>ElementsFamily <a href="ref/CHAP027.htm#I4">R 27.1</a>
<dt>ElementsStabChain <a href="ref/CHAP038.htm#I30">R 38.8</a>
<dt>EliminatedWord <a href="ref/CHAP032.htm#I27">R 32.3</a>
<dt>ElmWPObj <a href="ext/CHAP006.htm#I2">E 6.3</a>
<dt>Embedding <a href="ref/CHAP029.htm#I11">R 29.1</a> <a href="ref/CHAP044.htm#I9">R 44.5</a>
<dt>EmptyMatrix <a href="ref/CHAP023.htm#I48">R 23.3</a>
<dt>EmptySCTable <a href="ref/CHAP057.htm#I22">R 57.3</a>
<dt>EmptyStabChain <a href="ref/CHAP038.htm#I42">R 38.9</a>
<dt>EnableAttributeValueStoring <a href="ref/CHAP012.htm#I12">R 12.5</a>
<dt>End <a href="ref/CHAP056.htm#I61">R 56.6</a>
<dt>Enumerator <a href="ref/CHAP027.htm#I8">R 27.2</a>
<dt>EnumeratorByBasis <a href="ref/CHAP056.htm#I45">R 56.4</a>
<dt>EnumeratorSorted <a href="ref/CHAP027.htm#I10">R 27.2</a>
<dt>EpimorphismNilpotentQuotient <a href="ref/CHAP042.htm#I45">R 42.10</a>
<dt>EpimorphismPGroup <a href="ref/CHAP042.htm#I43">R 42.10</a>
<dt>EquivalenceClassOfElement <a href="ref/CHAP030.htm#I11">R 30.2</a>
<dt>EquivalenceClassOfElementNC <a href="ref/CHAP030.htm#I12">R 30.2</a>
<dt>EquivalenceClassRelation <a href="ref/CHAP030.htm#I9">R 30.2</a>
<dt>EquivalenceClasses <a href="ref/CHAP030.htm#I10">R 30.2</a>
<dt>EquivalenceRelationByPartition <a href="ref/CHAP030.htm#I7">R 30.2</a>
<dt>EquivalenceRelationPartition <a href="ref/CHAP030.htm#I6">R 30.2</a>
<dt>Error <a href="ref/CHAP005.htm#I23">R 5.5</a>
<dt>EuclideanDegree <a href="ref/CHAP051.htm#I78">R 51.6</a>
<dt>EuclideanQuotient <a href="ref/CHAP051.htm#I80">R 51.6</a>
<dt>EuclideanRemainder <a href="ref/CHAP051.htm#I82">R 51.6</a>
<dt>EulerianFunction <a href="ref/CHAP034.htm#I109">R 34.15</a>
<dt>EulerianFunctionByTom <a href="ref/CHAP064.htm#I45">R 64.9</a>
<dt>Eulers totient function <a href="ref/CHAP014.htm#I8">R 14.1</a>
<dt>ExactSizeConsiderFunction <a href="ref/CHAP034.htm#I157">R 34.20</a>
<dt>Examples of Extending the System <a href="prg/CHAP004.htm#I0">P 4.0</a>
<dt>Exec <a href="ref/CHAP010.htm#I2">R 10.2</a>
<dt>Exponent <a href="ref/CHAP034.htm#I108">R 34.15</a>
<dt>ExponentOfPcElement <a href="ref/CHAP040.htm#I13">R 40.5</a>
<dt>ExponentSumWord <a href="ref/CHAP032.htm#I28">R 32.3</a>
<dt>ExponentSyllable <a href="ref/CHAP032.htm#I30">R 32.4</a>
<dt>ExponentsConjugateLayer <a href="ref/CHAP040.htm#I27">R 40.6</a>
<dt>ExponentsOfCommutator <a href="ref/CHAP040.htm#I30">R 40.6</a>
<dt>ExponentsOfConjugate <a href="ref/CHAP040.htm#I29">R 40.6</a>
<dt>ExponentsOfPcElement <a href="ref/CHAP040.htm#I14">R 40.5</a>
<dt>ExponentsOfRelativePower <a href="ref/CHAP040.htm#I28">R 40.6</a>
<dt>ExtRepDenominatorRatFun <a href="ref/CHAP060.htm#I82">R 60.18</a>
<dt>ExtRepNumeratorRatFun <a href="ref/CHAP060.htm#I81">R 60.18</a>
<dt>ExtRepOfObj <a href="prg/CHAP003.htm#I18">P 3.12</a>
<dt>ExtRepOfObj, external representation, for cyclotomics <a href="ref/CHAP017.htm#I15">R 17.1</a>
<dt>ExtRepPolynomialRatFun <a href="ref/CHAP060.htm#I85">R 60.18</a>
<dt>ExtendStabChain <a href="ref/CHAP038.htm#I39">R 38.9</a>
<dt>ExtendedPcgs <a href="ref/CHAP040.htm#I40">R 40.7</a>
<dt>Extension <a href="ref/CHAP041.htm#I30">R 41.8</a>
<dt>ExtensionRepresentatives <a href="ref/CHAP041.htm#I33">R 41.8</a>
<dt>Extensions <a href="ref/CHAP041.htm#I29">R 41.8</a>
<dt>ExternalOrbit <a href="ref/CHAP036.htm#I81">R 36.10</a>
<dt>ExternalOrbits <a href="ref/CHAP036.htm#I83">R 36.10</a>
<dt>ExternalOrbitsStabilizers <a href="ref/CHAP036.htm#I85">R 36.10</a>
<dt>ExternalSet <a href="ref/CHAP036.htm#I74">R 36.10</a>
<dt>ExternalSubset <a href="ref/CHAP036.htm#I79">R 36.10</a>
<dt>Extract <a href="ref/CHAP066.htm#I75">R 66.10</a>
<dt>ExtraspecialGroup <a href="ref/CHAP045.htm#I5">R 45.1</a>
<dt>eN <a href="ref/CHAP017.htm#I27">R 17.4</a>
<dt>element test, for lists <a href="ref/CHAP020.htm#I25">R 20.8</a>
<dt>elements, of a list or collection <a href="ref/CHAP027.htm#I25">R 27.2</a>
<dt>elif <a href="ref/CHAP004.htm#I49">R 4.16</a>
<dt>else <a href="ref/CHAP004.htm#I48">R 4.16</a>
<dt>end <a href="ref/CHAP004.htm#I66">R 4.21</a>
<dt>enumerator <a href="tut/CHAP005.htm#I6">T 5.2</a>
<dt>environment <a href="ref/CHAP004.htm#I70">R 4.21</a>
<dt>equality test <a href="ref/CHAP004.htm#I25">R 4.11</a>
<dt>equality test, for permutations <a href="ref/CHAP037.htm#I5">R 37.1</a>
<dt>equality, elements of finitely presented groups <a href="ref/CHAP042.htm#I6">R 42.2</a>
<dt>equality, of records <a href="ref/CHAP026.htm#I13">R 26.4</a>
<dt>equality, operation <a href="ref/CHAP028.htm#I37">R 28.10</a>
<dt>equality, pcwords <a href="ref/CHAP041.htm#I5">R 41.2</a>
<dt>equality, words <a href="ref/CHAP032.htm#I20">R 32.2</a>
<dt>errors, syntax <a href="ref/CHAP005.htm#I6">R 5.1</a>
<dt>evaluation <a href="ref/CHAP004.htm#I6">R 4.7</a>
<dt>execution <a href="ref/CHAP004.htm#I42">R 4.13</a>
<dt>exit <a href="ref/CHAP005.htm#I26">R 5.6</a>
<dt>exponent, of the prime residue group <a href="ref/CHAP014.htm#I12">R 14.1</a>
<dt>exponentiation, operation <a href="ref/CHAP028.htm#I46">R 28.11</a>
<dt>external set <a href="tut/CHAP005.htm#I4">T 5.2</a>
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