54.13 IsMinimalNonmonomial

IsMinimalNonmonomial( G )

returns true if the solvable group G is a minimal nonmonomial group, and false otherwise. A group is called minimal nonmonomial if it is nonmonomial, and all proper subgroups and factor groups are monomial.

The solvable minimal nonmonomial groups were classified by van der Waall (see~vdW76).

    gap> IsMinimalNonmonomial( Sl23 );
    true
    gap> IsMinimalNonmonomial( S4 );
    false 

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