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distrib > Mandriva > 2010.0 > i586 > media > contrib-release > by-pkgid > 91213ddcfbe7f54821d42c2d9e091326 > files > 1755

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

  
  5. The Modular Isomorphism Problem
  
  
  5.1 Known results on MIP
  
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  5.2 Invariants determined by group algebras
  
  5.2-1 SandlingFactorGroup
  
  > SandlingFactorGroup( G ) ________________________________________attribute
  Returns:  factorgroup
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.2-2 JenningsFactors
  
  > JenningsFactors( G ) ____________________________________________attribute
  Returns:  list of lists of IdGroup
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.2-3 NumberOfConjugacyClassesPPowers
  
  > NumberOfConjugacyClassesPPowers( G ) ____________________________attribute
  Returns:  list of integers
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.2-4 ClassSumNumbers
  
  > ClassSumNumbers( G ) ____________________________________________attribute
  Returns:  list of integers
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.2-5 QuillenSeries
  
  > QuillenSeries( G ) ______________________________________________attribute
  Returns:  list of integers
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.2-6 RoggenkampParameter
  
  > RoggenkampParameter( G ) ________________________________________attribute
  Returns:  integer
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.2-7 RoggenkampParameterForNormalSubset
  
  > RoggenkampParameterForNormalSubset( G, S ) _______________________function
  Returns:  integer
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.2-8 KernelSize
  
  > KernelSize( FG[, n, m, k] ) _____________________________________attribute
  Returns:  integer or fail
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  
  5.3 MIP testing tools
  
  5.3-1 PrintMIPInvariants
  
  > PrintMIPInvariants( G ) __________________________________________function
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.3-2 PrintMIPInvariantsTable
  
  > PrintMIPInvariantsTable( list, filename ) ________________________function
  Returns:  text file generated in the current directory
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.3-3 MIPInvariantsRecord
  
  > MIPInvariantsRecord( G ) _________________________________________function
  Returns:  record
  
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  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.3-4 MIPInvariantsLibrary
  
  > MIPInvariantsLibrary( n ) ________________________________________function
  Returns:  text file generated in the current directory
  
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  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.3-5 MIPInvariantsLibraryClassification
  
  > MIPInvariantsLibraryClassification( invlib, mode ) _______________function
  Returns:  list  of  lists  and  (optionally)  a  text  file generated in the
            current directory
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.3-6 KernelSizeTest
  
  > KernelSizeTest( FG, FH ) _________________________________________function
  Returns:  a list of parameters and kernel sizes or fail
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.3-7 JenningsLieAlgebraTest
  
  > JenningsLieAlgebraTest( FG, FH ) _________________________________function
  Returns:  true or false
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.3-8 MIPSplittingByKernelSize
  
  > MIPSplittingByKernelSize( list, no, mode ) _______________________function
  Returns:  text file generated in the current directory
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.3-9 MIPSplittingByJenningsLieAlgebra
  
  > MIPSplittingByJenningsLieAlgebra( list, no, mode ) _______________function
  Returns:  text file generated in the current directory
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------
  
  5.3-10 MIPSplittingReport
  
  > MIPSplittingReport( list ) _______________________________________function
  
  ???????????????????????????????????
  
  ---------------------------  Example  ----------------------------
    
    
  ------------------------------------------------------------------