Goto Chapter: Top12345BibInd

5. The Modular Isomorphism Problem

5.1 Known results on MIP

???????????????????????????????????

5.2 Invariants determined by group algebras

5.2-1 SandlingFactorGroup
> SandlingFactorGroup( G )( attribute )

Returns: factorgroup

???????????????????????????????????

5.2-2 JenningsFactors
> JenningsFactors( G )( attribute )

Returns: list of lists of IdGroup

???????????????????????????????????

5.2-3 NumberOfConjugacyClassesPPowers
> NumberOfConjugacyClassesPPowers( G )( attribute )

Returns: list of integers

???????????????????????????????????

5.2-4 ClassSumNumbers
> ClassSumNumbers( G )( attribute )

Returns: list of integers

???????????????????????????????????

5.2-5 QuillenSeries
> QuillenSeries( G )( attribute )

Returns: list of integers

???????????????????????????????????

5.2-6 RoggenkampParameter
> RoggenkampParameter( G )( attribute )

Returns: integer

???????????????????????????????????

5.2-7 RoggenkampParameterForNormalSubset
> RoggenkampParameterForNormalSubset( G, S )( function )

Returns: integer

???????????????????????????????????

5.2-8 KernelSize
> KernelSize( FG[, n, m, k] )( attribute )

Returns: integer or fail

???????????????????????????????????

5.3 MIP testing tools

5.3-1 PrintMIPInvariants
> PrintMIPInvariants( G )( function )

???????????????????????????????????

5.3-2 PrintMIPInvariantsTable
> PrintMIPInvariantsTable( list, filename )( function )

Returns: text file generated in the current directory

???????????????????????????????????

5.3-3 MIPInvariantsRecord
> MIPInvariantsRecord( G )( function )

Returns: record

???????????????????????????????????

5.3-4 MIPInvariantsLibrary
> MIPInvariantsLibrary( n )( function )

Returns: text file generated in the current directory

???????????????????????????????????

5.3-5 MIPInvariantsLibraryClassification
> MIPInvariantsLibraryClassification( invlib, mode )( function )

Returns: list of lists and (optionally) a text file generated in the current directory

???????????????????????????????????

5.3-6 KernelSizeTest
> KernelSizeTest( FG, FH )( function )

Returns: a list of parameters and kernel sizes or fail

???????????????????????????????????

5.3-7 JenningsLieAlgebraTest
> JenningsLieAlgebraTest( FG, FH )( function )

Returns: true or false

???????????????????????????????????

5.3-8 MIPSplittingByKernelSize
> MIPSplittingByKernelSize( list, no, mode )( function )

Returns: text file generated in the current directory

???????????????????????????????????

5.3-9 MIPSplittingByJenningsLieAlgebra
> MIPSplittingByJenningsLieAlgebra( list, no, mode )( function )

Returns: text file generated in the current directory

???????????????????????????????????

5.3-10 MIPSplittingReport
> MIPSplittingReport( list )( function )

???????????????????????????????????
Top of BookPrevious ChapterNext Chapter

Goto Chapter: Top12345BibInd

generated by GAPDoc2HTML