62.70 DisplayCayleyTable for groups

DisplayCayleyTable( group )

DisplayCayleyTable prints the Cayley table of the group group. This function works the same way as for semigroups and near-rings: the dispatcher function DisplayCayleyTable calls group.op-er-a-tions.Display-Ta-ble which performs the printing.

  gap> g := Group( (1,2), (3,4) );       # this is Klein\'s four group  
  Group( (1,2), (3,4) )
  gap> DisplayCayleyTable( g );
  Let:
  g0 := ()
  g1 := (3,4)
  g2 := (1,2)
  g3 := (1,2)(3,4)

    +  

 g0 g1 g2 g3 
   ------------------
    g0 

 g0 g1 g2 g3 
    g1 

 g1 g0 g3 g2 
    g2 

 g2 g3 g0 g1 
    g3 

 g3 g2 g1 g0 

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