47.23 TomCyclic

TomCyclic( n )

TomCyclic constructs the table of marks of the cyclic group of order n. A cyclic group of order n has as its subgroups for each divisor d of n a cyclic subgroup of order d. The record which is returned has an additional component name where for each subgroup its order is given as a string.

    gap> c6 := TomCyclic( 6 );
    rec(
      name := [ "1", "2", "3", "6" ],
      subs := [ [ 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 2, 3, 4 ] ],
      marks := [ [ 6 ], [ 3, 3 ], [ 2, 2 ], [ 1, 1, 1, 1 ] ] )
    gap> DisplayTom( c6 );
    1:  6
    2:  3 3
    3:  2 . 2
    4:  1 1 1 1 

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