47.25 TomFrobenius

TomFrobenius( p, q )

TomFrobenius computes the table of marks of a Frobenius group of order p q, where p is a prime and q divides p-1.

    gap> f20 := TomFrobenius( 5, 4 );
    rec(
      name := [ "1", "2", "4", "5:1", "5:2", "5:4" ],
      subs := [ [ 1 ], [ 1, 2 ], [ 1, 2, 3 ], [ 1, 4 ], [ 1, 2, 4, 5 ], 
          [ 1, 2, 3, 4, 5, 6 ] ],
      marks :=
       [ [ 20 ], [ 10, 2 ], [ 5, 1, 1 ], [ 4, 4 ], [ 2, 2, 2, 2 ],
          [ 1, 1, 1, 1, 1, 1 ] ] )
    gap> DisplayTom( f20 );
    1:  20
    2:  10 2
    3:   5 1 1
    4:   4 . . 4
    5:   2 2 . 2 2
    6:   1 1 1 1 1 1 

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