65.4 Irreducibility Tests

  • MTX.IsIrreducible(module) AST

    tests whether the module module is irreducible (i.e. contains no proper submodules.)

  • MTX.IsAbsolutelyIrreducible(module) AST

    A module is absolutely irreducible if it remains irreducible over the algebraic closure of the field. (Formally: If the tensor product LÄK M is irreducible where M is the module defined over K and L is the algebraic closure of K.)

  • MTX.DegreeSplittingField(module)

    returns the degree of the splitting field as extension of the prime field.

    [Top] [Previous] [Up] [Next] [Index]

    GAP 4 manual
    February 2000