public void MultiplyBeIdempotent()
{
IGroup group = new SymmetricGroup(3);
IGroup group2 = GroupUtilities.Multiply(group, group);
Assert.AreEqual(group.Order, group2.Order);
}
public void MultiplyGenerateSymmetricGroup()
{
IGroup group1 = new GeneratedGroup(Element.CreateRotation(4));
IGroup group2 = new GeneratedGroup(Element.CreateSwap(4));
IGroup group3 = GroupUtilities.Multiply(group1, group2);
Assert.AreEqual(24, group3.Order);
IGroup symm = new SymmetricGroup(4);
Assert.IsTrue(GroupUtilities.AreEqual(group3, symm));
Assert.IsTrue(group3.Equals(symm));
}