products/Sources/formale Sprachen/GAP/pkg/crisp/htm/theindex.htm
<html ><head ><title >CRISP : a GAP 4 package - Index </title ></head >body text="#000000" bgcolor="#ffffff" >h1 ><font face="Gill Sans,Helvetica,Arial" >CRISP</font > : a <font face="Gill Sans,Helvetica,Arial" >GAP</font > 4 package - Index </h1 >"#idxA" >A</A>"#idxB" >B</A>"#idxC" >C</A>"#idxD" >D</A>"#idxE" >E</A>"#idxF" >F</A>"#idxG" >G</A>"#idxH" >H</A>"#idxI" >I</A>"#idxL" >L</A>"#idxM" >M</A>"#idxN" >N</A>"#idxO" >O</A>"#idxP" >P</A>"#idxR" >R</A>"#idxS" >S</A>"#idxT" >T</A>"#idxU" >U</A>"#idxV" >V</A>"idxA" >A</A></H2>dl >dt >abelian groups of bounded exponent, class of <a href="CHAP006.htm#I15" >6.1</a> dt >abelian groups, class of <a href="CHAP006.htm#I11" >6.1</a> dt >AbelianGroups <a href="CHAP006.htm#I10" >6.1</a> dt >AbelianGroupsOfExponent <a href="CHAP006.htm#SSEC001.5" >6.1.5</a> <a href="CHAP006.htm#I13" >6.1</a> dt >AbelianMinimalNormalSubgroups <a href="CHAP007.htm#SSEC001.5" >7.1.5</a> dt >AbelianSocle <a href="CHAP007.htm#SSEC002.2" >7.2.2</a> dt >AbelianSocleComponents <a href="CHAP007.htm#SSEC002.4" >7.2.4</a> dt >Additional attributes for primitive soluble groups <a href="CHAP004.htm#SECT003" >4.3</a> dt >Additional properties of group classes <a href="CHAP003.htm#SECT003" >3.3</a> dt >AllInvariantSubgroupsWithNProperty <a href="CHAP005.htm#SSEC005.2" >5.5.2</a> dt >AllInvariantSubgroupsWithQProperty <a href="CHAP004.htm#SSEC006.2" >4.6.2</a> dt >AllNormalSubgroupsWithNProperty <a href="CHAP005.htm#SSEC005.3" >5.5.3</a> dt >AllNormalSubgroupsWithQProperty <a href="CHAP004.htm#SSEC006.4" >4.6.4</a> dt >AllPrimes <a href="CHAP006.htm#I19" >6.3</a> dt >Attributes and operations for Fitting classes and Fitting sets <a href="CHAP005.htm#SECT004" >5.4</a> dt >Attributes and operations for formations <a href="CHAP004.htm#SECT005" >4.5</a> dt >Attributes and operations for Schunck classes <a href="CHAP004.htm#SECT002" >4.2</a> dt >Attributes of group classes <a href="CHAP003.htm#SECT004" >3.4</a> dt >attributes, of Fitting classes <a href="CHAP005.htm#I6" >5.4</a> dt >attributes, of Fitting sets <a href="CHAP005.htm#I5" >5.4</a> dt >attributes, of formation <a href="CHAP004.htm#I10" >4.5</a> dt >attributes, of group classes <a href="CHAP003.htm#I9" >3.4</a> dt >attributes, of primitive soluble group <a href="CHAP004.htm#I6" >4.3</a> dt >attributes, of Schunck class <a href="CHAP004.htm#I3" >4.2</a> dl ><p>"idxB" >B</A></H2>dl >dt >Basis <a href="CHAP004.htm#SSEC002.2" >4.2.2</a> dt >Boundary <a href="CHAP004.htm#SSEC002.1" >4.2.1</a> dt >BoundaryFunction <a href="CHAP004.htm#SSEC002.5" >4.2.5</a> dl ><p>"idxC" >C</A></H2>dl >dt >Carter subgroup <a href="CHAP006.htm#I18" >6.2</a> dt >Characteristic <a href="CHAP003.htm#SSEC004.1" >3.4.1</a> dt >CharacteristicSubgroups <a href="CHAP007.htm#SSEC001.2" >7.1.2</a> dt >Class <a href="CHAP002.htm#SSEC001.2" >2.1.2</a> dt >class, of all abelian groups <a href="CHAP006.htm#SSEC001.4" >6.1.4</a> <a href="CHAP006.htm#I12" >6.1</a> dt >class, of all abelian groups of bounded exponent <a href="CHAP006.htm#I14" >6.1</a> dt >class, of all nilpotent groups <a href="CHAP006.htm#SSEC001.2" >6.1.2</a> <a href="CHAP006.htm#I5" >6.1</a> dt >class, of all p-groups <a href="CHAP006.htm#I17" >6.1</a> dt >class, of all pi-groups <a href="CHAP006.htm#I16" >6.1</a> dt >class, of all supersoluble groups <a href="CHAP006.htm#SSEC001.3" >6.1.3</a> <a href="CHAP006.htm#I9" >6.1</a> dt >class, of all trivial groups <a href="CHAP006.htm#SSEC001.1" >6.1.1</a> <a href="CHAP006.htm#I2" >6.1</a> dt >classes, creation of <a href="CHAP002.htm#I0" >2.1</a> dt >classes, properties of <a href="CHAP002.htm#I3" >2.2</a> dt >closure properties, of group classes <a href="CHAP003.htm#I1" >3.2</a> dt >comparison, for classes <a href="CHAP002.htm#SSEC001.8" >2.1.8</a> dt >Complement <a href="CHAP002.htm#SSEC003.1" >2.3.1</a> dt >ContainsTrivialGroup <a href="CHAP003.htm#SSEC002.2" >3.2.2</a> dt >CoveringSubgroup <a href="CHAP004.htm#SSEC002.4" >4.2.4</a> dt >Creating Fitting classes <a href="CHAP005.htm#SECT001" >5.1</a> dt >Creating Fitting formations <a href="CHAP005.htm#SECT002" >5.2</a> dt >Creating Fitting sets <a href="CHAP005.htm#SECT003" >5.3</a> dt >Creating formations <a href="CHAP004.htm#SECT004" >4.4</a> dt >Creating group classes <a href="CHAP003.htm#SECT001" >3.1</a> dt >Creating Schunck classes <a href="CHAP004.htm#SECT001" >4.1</a> dt >Creating set theoretical classes <a href="CHAP002.htm#SECT001" >2.1</a> dl ><p>"idxD" >D</A></H2>dl >dt >Difference <a href="CHAP002.htm#SSEC003.4" >2.3.4</a> dt >Display, for classes <a href="CHAP002.htm#SSEC001.5" >2.1.5</a> dl ><p>"idxE" >E</A></H2>dl >dt >element test, for classes <a href="CHAP002.htm#SSEC001.6" >2.1.6</a> dt >equality, for classes <a href="CHAP002.htm#SSEC001.7" >2.1.7</a> dt >Examples of group classes <a href="CHAP006.htm" >6.0</a> dl ><p>"idxF" >F</A></H2>dl >dt >Fitting classes and Fitting sets <a href="CHAP005.htm" >5.0</a> dt >Fitting classes, attributes of <a href="CHAP005.htm#I12" >5.4</a> dt >Fitting classes, creating <a href="CHAP005.htm#I0" >5.1</a> dt >Fitting classes, creating Fitting formations <a href="CHAP005.htm#I3" >5.2</a> dt >Fitting classes, operations for <a href="CHAP005.htm#I10" >5.4</a> dt >Fitting formations, creating <a href="CHAP005.htm#I1" >5.2</a> dt >Fitting sets, attributes of <a href="CHAP005.htm#I11" >5.4</a> dt >Fitting sets, creating <a href="CHAP005.htm#I4" >5.3</a> dt >Fitting sets, operations for <a href="CHAP005.htm#I9" >5.4</a> dt >FittingClass <a href="CHAP005.htm#SSEC001.1" >5.1.1</a> dt >FittingFormation <a href="CHAP005.htm#SSEC002.1" >5.2.1</a> dt >FittingFormationProduct <a href="CHAP004.htm#SSEC004.4" >4.4.4</a> dt >FittingProduct <a href="CHAP005.htm#SSEC001.2" >5.1.2</a> dt >FittingSet <a href="CHAP005.htm#SSEC003.2" >5.3.2</a> dt >FormationProduct <a href="CHAP004.htm#SSEC004.3" >4.4.3</a> dt >formations, attributes for <a href="CHAP004.htm#I8" >4.5</a> dt >formations, creating <a href="CHAP004.htm#I7" >4.4</a> dt >formations, creating Fitting formations <a href="CHAP005.htm#I2" >5.2</a> dt >formations, operations for <a href="CHAP004.htm#I9" >4.5</a> dt >Functions for normal and characteristic subgroups <a href="CHAP007.htm#SECT001" >7.1</a> dt >Functions for the socle of finite groups <a href="CHAP007.htm#SECT002" >7.2</a> dl ><p>"idxG" >G</A></H2>dl >dt >Generic group classes <a href="CHAP003.htm" >3.0</a> dt >group classes, attributes for <a href="CHAP003.htm#I8" >3.4</a> dt >group classes, closure properties of <a href="CHAP003.htm#I2" >3.2</a> dt >group classes, creation of <a href="CHAP003.htm#I0" >3.1</a> dt >group classes, properties of <a href="CHAP003.htm#I3" >3.3</a> dt >GroupClass <a href="CHAP003.htm#SSEC001.1" >3.1.1</a> dl ><p>"idxH" >H</A></H2>dl >dt >HasIsFittingClass <a href="CHAP003.htm#SSEC003.1" >3.3.1</a> dt >HasIsFittingFormation <a href="CHAP003.htm#SSEC003.10" >3.3.10</a> dt >HasIsFormation <a href="CHAP003.htm#I5" >3.3</a> dt >HasIsOrdinaryFormation <a href="CHAP003.htm#SSEC003.4" >3.3.4</a> dt >HasIsSaturatedFittingFormation <a href="CHAP003.htm#SSEC003.13" >3.3.13</a> dt >HasIsSaturatedFormation <a href="CHAP003.htm#SSEC003.7" >3.3.7</a> dl ><p>"idxI" >I</A></H2>dl >dt >ImageFittingSet <a href="CHAP005.htm#SSEC003.3" >5.3.3</a> dt >in, for classes <a href="CHAP002.htm#I1" >2.1</a> dt >Injector <a href="CHAP005.htm#SSEC004.2" >5.4.2</a> dt >InjectorFunction <a href="CHAP005.htm#SSEC004.4" >5.4.4</a> dt >Intersection, of classes <a href="CHAP002.htm#SSEC003.2" >2.3.2</a> dt >Intersection, of Fitting sets <a href="CHAP005.htm#SSEC003.5" >5.3.5</a> dt >Intersection, of group classes <a href="CHAP003.htm#SSEC001.2" >3.1.2</a> dt >INTERSECTIONnoexpand_LIMIT <a href="CHAP002.htm#I6" >2.3</a> dt >Introduction <a href="CHAP001.htm" >1.0</a> dt >invariant normal subgroups, with properties inherited by normal subgroups <a href="CHAP005.htm#I14" >5.5</a> dt >invariant normal subgroups, with properties inherited by normal subgroups above <a href="CHAP004.htm#I13" >4.6</a> dt >IsClass <a href="CHAP002.htm#SSEC001.1" >2.1.1</a> dt >IsDirectProductClosed <a href="CHAP003.htm#SSEC002.8" >3.2.8</a> dt >IsEmpty, for classes <a href="CHAP002.htm#SSEC002.1" >2.2.1</a> dt >IsFittingClass <a href="CHAP003.htm#SSEC003.2" >3.3.2</a> dt >IsFittingFormation <a href="CHAP003.htm#SSEC003.11" >3.3.11</a> dt >IsFittingSet <a href="CHAP005.htm#SSEC003.1" >5.3.1</a> dt >IsFormation <a href="CHAP003.htm#I6" >3.3</a> dt >IsGroupClass <a href="CHAP003.htm#SSEC002.1" >3.2.1</a> dt >IsNormalProductClosed <a href="CHAP003.htm#SSEC002.7" >3.2.7</a> dt >IsNormalSubgroupClosed <a href="CHAP003.htm#SSEC002.4" >3.2.4</a> dt >IsOrdinaryFormation <a href="CHAP003.htm#SSEC003.5" >3.3.5</a> dt >IsPrimitiveSoluble <a href="CHAP004.htm#SSEC003.1" >4.3.1</a> dt >IsPrimitiveSolubleGroup <a href="CHAP004.htm#SSEC003.1" >4.3.1</a> dt >IsPrimitiveSolvable <a href="CHAP004.htm#SSEC003.1" >4.3.1</a> dt >IsPrimitiveSolvableGroup <a href="CHAP004.htm#SSEC003.1" >4.3.1</a> dt >IsQuotientClosed <a href="CHAP003.htm#SSEC002.5" >3.2.5</a> dt >IsResiduallyClosed <a href="CHAP003.htm#SSEC002.6" >3.2.6</a> dt >IsSaturated <a href="CHAP003.htm#SSEC002.10" >3.2.10</a> dt >IsSaturatedFittingFormation <a href="CHAP003.htm#SSEC003.14" >3.3.14</a> dt >IsSaturatedFormation <a href="CHAP003.htm#SSEC003.8" >3.3.8</a> dt >IsSchunckClass <a href="CHAP003.htm#SSEC002.9" >3.2.9</a> dt >IsSubgroupClosed <a href="CHAP003.htm#SSEC002.3" >3.2.3</a> dl ><p>"idxL" >L</A></H2>dl >dt >Lattice operations for classes <a href="CHAP002.htm#SECT003" >2.3</a> dt >lattice operations, for classes <a href="CHAP002.htm#I5" >2.3</a> dt >Lists of normal subgroups <a href="CHAP007.htm" >7.0</a> dt >LocalDefinitionFunction <a href="CHAP004.htm#SSEC005.3" >4.5.3</a> dt >Low level functions for normal subgroups related to radicals <a href="CHAP005.htm#SECT005" >5.5</a> dt >Low level functions for normal subgroups related to residuals <a href="CHAP004.htm#SECT006" >4.6</a> dl ><p>"idxM" >M</A></H2>dl >dt >MemberFunction <a href="CHAP002.htm#SSEC002.2" >2.2.2</a> dt >membership test, for classes <a href="CHAP002.htm#I2" >2.1</a> dt >minimal normal p-subgroups <a href="CHAP007.htm#I1" >7.1</a> dt >minimal normal subgroups <a href="CHAP007.htm#I0" >7.1</a> dt >MinimalNormalPSubgroups <a href="CHAP007.htm#SSEC001.4" >7.1.4</a> dt >MinimalNormalSubgroups <a href="CHAP007.htm#SSEC001.3" >7.1.3</a> dl ><p>"idxN" >N</A></H2>dl >dt >nilpotent groups, class of <a href="CHAP006.htm#I4" >6.1</a> dt >NilpotentGroups <a href="CHAP006.htm#I3" >6.1</a> dt >NilpotentProjector <a href="CHAP006.htm#SSEC002.1" >6.2.1</a> dt >normal subgroups, with properties inherited by factor groups <a href="CHAP004.htm#I14" >4.6</a> dt >normal subgroups, with properties inherited by normal subgroups <a href="CHAP005.htm#I13" >5.5</a> dt >normal subgroups, with properties inherited by normal subgroups above <a href="CHAP004.htm#I12" >4.6</a> dt >normal subgroups, with properties inherited by quotients <a href="CHAP004.htm#I15" >4.6</a> dt >NormalSubgroups <a href="CHAP007.htm#SSEC001.1" >7.1.1</a> dl ><p>"idxO" >O</A></H2>dl >dt >OneInvariantSubgroupMaxWrtNProperty <a href="CHAP005.htm#SSEC005.1" >5.5.1</a> dt >OneInvariantSubgroupMinWrtQProperty <a href="CHAP004.htm#SSEC006.1" >4.6.1</a> dt >OneNormalSubgroupMinWrtQProperty <a href="CHAP004.htm#SSEC006.3" >4.6.3</a> dt >OneNormalSubgroupWithNProperty <a href="CHAP005.htm#SSEC005.3" >5.5.3</a> dt >operations, for Fitting classes <a href="CHAP005.htm#I8" >5.4</a> dt >operations, for Fitting sets <a href="CHAP005.htm#I7" >5.4</a> dt >operations, for formation <a href="CHAP004.htm#I11" >4.5</a> dt >operations, for Schunck class, <a href="CHAP004.htm#I4" >4.2</a> dt >OrdinaryFormation <a href="CHAP004.htm#SSEC004.1" >4.4.1</a> dl ><p>"idxP" >P</A></H2>dl >dt >PGroups <a href="CHAP006.htm#SSEC001.7" >6.1.7</a> dt >PiGroups <a href="CHAP006.htm#SSEC001.6" >6.1.6</a> dt >Pre-defined group classes <a href="CHAP006.htm#SECT001" >6.1</a> dt >Pre-defined projector functions <a href="CHAP006.htm#SECT002" >6.2</a> dt >Pre-defined sets of primes <a href="CHAP006.htm#SECT003" >6.3</a> dt >PreImageFittingSet <a href="CHAP005.htm#SSEC003.4" >5.3.4</a> dt >primes, set of all <a href="CHAP006.htm#I20" >6.3</a> dt >primitive soluble group, attributes of <a href="CHAP004.htm#I5" >4.3</a> dt >Print, for classes <a href="CHAP002.htm#SSEC001.4" >2.1.4</a> dt >Projector <a href="CHAP004.htm#SSEC002.3" >4.2.3</a> dt >ProjectorFunction <a href="CHAP004.htm#SSEC002.6" >4.2.6</a> dt >Properties of classes <a href="CHAP002.htm#SECT002" >2.2</a> dt >Properties of group classes <a href="CHAP003.htm#SECT002" >3.2</a> dt >properties, of classes <a href="CHAP002.htm#I4" >2.2</a> dt >properties, of group classes <a href="CHAP003.htm#I4" >3.3</a> dt >PSocle <a href="CHAP007.htm#SSEC002.5" >7.2.5</a> dt >PSocleComponents <a href="CHAP007.htm#SSEC002.6" >7.2.6</a> dt >PSocleSeries <a href="CHAP007.htm#SSEC002.7" >7.2.7</a> dl ><p>"idxR" >R</A></H2>dl >dt >Radical <a href="CHAP005.htm#SSEC004.1" >5.4.1</a> dt >RadicalFunction <a href="CHAP005.htm#SSEC004.3" >5.4.3</a> dt >Residual <a href="CHAP004.htm#SSEC005.1" >4.5.1</a> dt >ResidualFunction <a href="CHAP004.htm#SSEC005.2" >4.5.2</a> dt >Residuum <a href="CHAP004.htm#SSEC005.1" >4.5.1</a> dl ><p>"idxS" >S</A></H2>dl >dt >SaturatedFittingFormation <a href="CHAP005.htm#SSEC002.2" >5.2.2</a> dt >SaturatedFormation <a href="CHAP004.htm#SSEC004.2" >4.4.2</a> dt >Schunck class, attributes of <a href="CHAP004.htm#I1" >4.2</a> dt >Schunck class, creating <a href="CHAP004.htm#I0" >4.1</a> dt >Schunck class, operations for <a href="CHAP004.htm#I2" >4.2</a> dt >Schunck classes and formations <a href="CHAP004.htm" >4.0</a> dt >SchunckClass <a href="CHAP004.htm#SSEC001.1" >4.1.1</a> dt >Set theoretical classes <a href="CHAP002.htm" >2.0</a> dt >set, of all primes <a href="CHAP006.htm#SSEC003.1" >6.3.1</a> dt >SetIsFittingClass <a href="CHAP003.htm#SSEC003.3" >3.3.3</a> dt >SetIsFittingFormation <a href="CHAP003.htm#SSEC003.12" >3.3.12</a> dt >SetIsFormation <a href="CHAP003.htm#I7" >3.3</a> dt >SetIsOrdinaryFormation <a href="CHAP003.htm#SSEC003.6" >3.3.6</a> dt >SetIsSaturatedFittingFormation <a href="CHAP003.htm#SSEC003.15" >3.3.15</a> dt >SetIsSaturatedFormation <a href="CHAP003.htm#SSEC003.9" >3.3.9</a> dt >Socle <a href="CHAP007.htm#SSEC002.1" >7.2.1</a> dt >SocleComplement <a href="CHAP004.htm#SSEC003.2" >4.3.2</a> dt >SocleComponents <a href="CHAP007.htm#SSEC002.3" >7.2.3</a> dt >SolubleSocle <a href="CHAP007.htm#SSEC002.2" >7.2.2</a> dt >SolubleSocleComponents <a href="CHAP007.htm#SSEC002.4" >7.2.4</a> dt >SolvableSocle <a href="CHAP007.htm#SSEC002.2" >7.2.2</a> dt >SolvableSocleComponents <a href="CHAP007.htm#SSEC002.4" >7.2.4</a> dt >supersoluble groups, class of <a href="CHAP006.htm#I8" >6.1</a> dt >SupersolubleGroups <a href="CHAP006.htm#I6" >6.1</a> dt >SupersolubleProjector <a href="CHAP006.htm#SSEC002.2" >6.2.2</a> dt >SupersolvableGroups <a href="CHAP006.htm#I7" >6.1</a> dt >SupersolvableProjector <a href="CHAP006.htm#SSEC002.2" >6.2.2</a> dl ><p>"idxT" >T</A></H2>dl >dt >trivial groups, class of <a href="CHAP006.htm#I1" >6.1</a> dt >TrivialGroups <a href="CHAP006.htm#I0" >6.1</a> dl ><p>"idxU" >U</A></H2>dl >dt >Union <a href="CHAP002.htm#SSEC003.3" >2.3.3</a> dl ><p>"idxV" >V</A></H2>dl >dt >Version History <a href="CHAP00A.htm" >A.0</a> dt >View, for classes <a href="CHAP002.htm#SSEC001.3" >2.1.3</a> dl ><p>"chapters.htm" >Up</a>]<p>address >CRISP manual<br >August 2025address ></body ></html >quality 97%
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