public void SwapsAreCyclic()
{
for (int k = 2; k <= 10; k++)
{
IGroup group = new GeneratedGroup(Element.CreateSwap(k));
Assert.IsTrue(GroupUtilities.IsCyclic(group));
}
}
public void SymmetricAreNotCyclic()
{
for (int k = 3; k <= 5; k++)
{
IGroup group = new SymmetricGroup(k);
Assert.IsFalse(GroupUtilities.IsCyclic(group));
}
}
public void RotationsAreCyclic()
{
for (int k = 1; k <= 7; k++)
{
IGroup group = new GeneratedGroup(Element.CreateRotation(k));
Assert.IsTrue(GroupUtilities.IsCyclic(group));
}
}