public void TwoSymetricGroupsAreIsomorphic()
{
IGroup group1 = new GeneratedGroup(Element.CreateSwap(4), Element.CreateRotation(4));
IGroup group2 = new GeneratedGroup(Element.CreateSwap(4, 2), Element.CreateRotation(4));
Assert.IsTrue(GroupUtilities.AreIsomorphic(group1, group2));
}
public void GroupsGeneratedByDiffSizedSwapsAreIsomorphic()
{
IGroup group1 = new GeneratedGroup(Element.CreateSwap(3));
IGroup group2 = new GeneratedGroup(Element.CreateSwap(4));
Assert.IsTrue(GroupUtilities.AreIsomorphic(group1, group2));
}
public void TwoGroupsGeneratedByTwoNonOverlappingSwapsAreIsomorphic()
{
IGroup group1 = new GeneratedGroup(Element.CreateSwap(4), Element.CreateSwap(4, 2));
IGroup group2 = new GeneratedGroup(Element.CreateSwap(6, 2), Element.CreateSwap(6, 4));
Assert.IsTrue(GroupUtilities.AreIsomorphic(group1, group2));
}
public void GroupsGeneratedByDiffPositionSwapsAreIsomorphic()
{
IElement swap1 = Element.CreateSwap(3);
IElement swap2 = Element.CreateSwap(3, 1);
IGroup group1 = new GeneratedGroup(swap1);
IGroup group2 = new GeneratedGroup(swap2);
Assert.IsTrue(GroupUtilities.AreIsomorphic(group1, group2));
}