=begin
  # sample-group01.rb

  require "algebra"
  e = Permutation[0, 1, 2, 3, 4]
  a = Permutation[1, 0, 3, 4, 2]
  b = Permutation[0, 2, 1, 3, 4]
  p a * b #=> [2, 0, 3, 4, 1]
  
  g = Group.new(e, a, b)
  g.complete!
  p g == PermutationGroup.symmetric(5) #=> true
  
  
  
  
  
  
  
=end
