Sophie

Sophie

distrib > Mandriva > 2010.0 > i586 > media > contrib-release > by-pkgid > 5e1854624d3bc613bdd0dd13d1ef9ac7 > files > 497

gap-system-4.4.12-5mdv2010.0.i586.rpm

  
  25. Miscellaneous
  
      |  BigStepLCS(G,n)  Inputs a group G and a positive integer n. It returns a subseries G=L_1>L_2>... L_k=1 of the lower central series of G such that L_i/L_i+1 has order greater than n.                                                                                                                         | 
      |  Classify(L,Inv)  Inputs a list of objects L and a function Inv which computes an invariant of each object. It returns a list of lists which classifies the objects of L according to the invariant..                                                                                                          | 
      |  RefineClassification(C,Inv)  Inputs a list C:=Classify(L,OldInv) and returns a refined classification according to the invariant Inv.                                                                                                                                                                         | 
      |  Compose(f,g)  Inputs two FpG-module homomorphisms f:M --> N and g:L --> M with Source(f)=Target(g) . It returns the composite homomorphism fg:L --> N . This also applies to group homomorphisms f,g.                                                                                                         | 
      |  HAPcopyright()  This function provides details of HAP'S GNU public copyright licence.                                                                                                                                                                                                                         | 
      |  IsLieAlgebraHomomorphism(f)  Inputs an object f and returns true if f is a homomorphism f:A --> B of Lie algebras (preserving the Lie bracket).                                                                                                                                                               | 
      |  IsSuperperfect(G)  Inputs a group G and returns "true" if both the first and second integral homology of G is trivial. Otherwise, it returns "false".                                                                                                                                                         | 
      | MakeHAPManual() This function creates the manual for HAP from an XML file.                                                                                                                                                                                                                                     | 
      |  PermToMatrixGroup(G,n)  Inputs a permutation group G and its degree n. Returns a bijective homomorphism f:G --> M where M is a group of permutation matrices.                                                                                                                                                 | 
      |  SolutionsMatDestructive(M,B)  Inputs an m×n matrix M and a k×n matrix B over a field. It returns a k×m matrix S satisfying SM=B. The function will leave matrix M unchanged but will probably change matrix B. (This is a trivial rewrite of the standard GAP function SolutionMatDestructive(<mat>,<vec>) .) | 
      |  TestHap()  This runs a representative sample of HAP functions and checks to see that they produce the correct output.                                                                                                                                                                                         |